Commemorazione di Carlo Cercignani
Lampis, Maria
La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana, Tome 4 (2011), p. 275-303 / Harvested from Biblioteca Digitale Italiana di Matematica
Publié le : 2011-08-01
@article{RIUMI_2011_1_4_2_275_0,
     author = {Maria Lampis},
     title = {Commemorazione di Carlo Cercignani},
     journal = {La Matematica nella Societ\`a e nella Cultura. Rivista dell'Unione Matematica Italiana},
     volume = {4},
     year = {2011},
     pages = {275-303},
     zbl = {1236.01025},
     mrnumber = {2896009},
     language = {it},
     url = {http://dml.mathdoc.fr/item/RIUMI_2011_1_4_2_275_0}
}
Lampis, Maria. Commemorazione di Carlo Cercignani. La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana, Tome 4 (2011) pp. 275-303. http://gdmltest.u-ga.fr/item/RIUMI_2011_1_4_2_275_0/

[1] Cercignani, C., ``Elementary solutions of the linearized gas dynamics Boltzmann equation and their application to the slip flow problem'', Annals of Physics20, 219 (1962). | MR 144578 | Zbl 0114.22104

[2] Cercignani, C., ``Plane Poiseuille flow and Knudsen minimum effect'', in ``Rarefied Gas Dynamics'', J. A. Laurmann ed., Vol II, 92, Academic Press, New York (1963). | MR 155639

[3] Cercignani, C., ``Shear flow for gas molecules interacting with an arbitrary central force'', Nuovo Cimento27, 1240 (1963). | Zbl 0108.44801

[4] Albertoni, S., Cercignani, C. and Gotusso, L.,``Numerical evaluation of the slip coefficient'', Phys. Fluids 6, 993 (1963).

[5] Cercignani, C. and Daneri, A., ``Flow of a rarefied gas between two parallel plates'', Jour. Appl. Phys. 34, 3509 (1963). | MR 160603

[6] Cercignani, C. and Sernagiotto, F., ``Rayleigh's problem at low Mach number according to kinetic theory'' in ``Rarefied Gas Dynamics'', J. H. De Leeuw ed., Vol I, 332, Academic Press, New York (1965). | MR 201128

[7] Cercignani, C. and Sernagiotto, F., ``The method of elementary solutions for time-dependent problems in linearized kinetic theory'', Annals of Physics 30, 154 (1964). | MR 180285

[8] Cercignani, C., ``The Kramers problem for a not completely diffusing wall'', J. Math. Anal. Appl10, 568 (1965). | MR 192729

[9] Cercignani, C., ``Plane Poiseuille flow according to the method of elementary solutions'', J. Math. Anal. Appl.11, 93 (1965). | MR 181187

[10] Cercignani, C., ``Plane Couette flow according to the method of elementary solutions'', J. Math. Anal. Appl.12, 254 (1965). | MR 187536

[11] Cercignani, C., ``Flows of rarefied gases supported by density and temperature gradients'', University of California Report N AS-64-18 (1964).

[12] Cercignani, C., ``Higher order slip according to the linearized Boltzmann equation'', University of California Report N AS-64-18 (1964).

[13] Cercignani, C., ``Elementary solutions of linearized kinetic models and boundary value problems in the kinetic theory of gases'', Brown University Report (1965).

[14] Cercignani, C., ``Metodi di soluzione dell'equazione di Boltzmann nella dinamica dei gas rarefatti'', Atti del Convegno AIR/IBM, 237, IBM (1963).

[15] Albertoni, S., Cercignani, C., Guerri, L. and Taroni, A., ``Problemi fluidodinamici connessi con il calcolo di onde d'urto: aspetti generali e recenti esperienze numeriche'', Atti del Convegno AIR/IBM, 207, IBM (1963).

[16] Cercignani, C. and Daneri, A., ``Sul flusso piano alla Poiseuille ad alti numeri di Knudsen'', Atti del Convegno AIR/IBM, 189, IBM (1963).

[17] Cercignani, C., ``Sugli integrali impropri nel senso di Hadamard e su alcuni operatori ad essi collegati'', Acc. Naz. Lincei, Rend. Cl. Sc. Fis, Mat. Nat., Serie VIII, 38, 39 (1965). | MR 185381 | Zbl 0127.06003

[18] Cercignani, C. and Tironi, G., ``Linearized Rayleigh's problem in magnetogasdynamics'', Phys. Fluids 9, 343 (1966). | Zbl 0139.22701

[19] Cercignani, C. and Pagani, C. D., ``Wall and collision effects in plasma capacitors'', Nuovo Cimento, X, 40. 140 (1965).

[20] Albertoni, S. and Cercignani, C., ``Sur un problème mixte dans la dynamique des fluides'' C.R. Acad. Sci. (Paris) 261, 312 (1965). | MR 184520 | Zbl 0139.21702

[21] Albertoni, S. and Cercignani, C., ``Metodi Matematici per Fisici'', Vol. 3, Quattri, Milano (1964).

[22] Cercignani, C. and Sernagiotto, F., ``Cylindrical Poiseuille flow of a rarefied gas'', Phys. Fluids 9, 40 (1966).

[23] Albertoni, S., Cercignani, C., Guerri, L. and Taroni, A., ``Numerical methods of calculation for implosion processes'', in ``Proceedings of the Conference on Megagauss Magnetic Fields Generation by Explosives and Related Experiments''. Euratom (1966).

[24] Cercignani, C. and Pagani, C. D., ``Variational approach to boundary-value problems in kinetic theory'', Phys. of Fluids 9, 1167 (1966).

[25] Bassanini, P., Cercignani, C. and Sernagiotto, F., ``Flow of a rarefied gas in a tube of annular section'', Phys. Fluids 9, 1174 (1966).

[26] Cercignani, C. and Tironi, G., ``Some applications of a linearized kinetic model with correct Prandtl number'', Nuovo Cimento, X, 43, 64 (1966). | Zbl 0139.22701

[27] Cercignani, C., ``Alcune osservazioni sull'equazione del trasporto'' in ``Fisica del Reattore'', 633, CNR (1966).

[28] Albertoni, S., Cercignani, C., Giovannelli, R. and Tozzi, A., ``Alcuni aspetti tecnologici della generazione e delle applicazioni delle alte temperature'' in ``Fisica del Plasma'', 247, CNR (1966).

[29] Bassanini, P., Cercignani, C. and Pagani, C.D.,``Comparison of kinetic theory analyses of heat transfer between parallel plates'', Int. J. Heat Mass Transfer 10, 47 (1967).

[30] Cercignani, C., ``Linear Representation of spinors by tensors'', J. Math. Phys.8, 417 (1967). | Zbl 0144.48101

[31] Cercignani, C. and Sernagiotto, F., ``Cylindrical Couette flow of a rarefied gas'', Phys. Fluids 10, 1200 (1967).

[32] Cercignani, C., ``The method of elementary solutions for kinetic models with velocity-dependent collision frequency'', Annals of Physics40, 469 (1967). | MR 219288

[33] Cercignani, C., ``Unsteady solutions of kinetic models with velocity-dependent collision frequency'', Annals of Physics40, 454 (1967). | MR 219288

[34] Cercignani, C. and Sernagiotto, F., ``Some results about a kinetic models with velocity-dependent collision frequency'', in ``Rarefied Gas Dynamics'', C. L. Brundin ed., Vol I, 381, Academic Press, New York (1967).

[35] Cercignani, C. and Pagani, C. D., ``Variational approach to rarefied flows in cylindrical and spherical geometry'', in ``Rarefied Gas Dynamics'' C. L. Brundin ed., Vol I, 555, Academic Press, New York (1967).

[36] Cercignani, C. and Tironi, G., ``Nonlinear heat transfer between two parallel plates according to a model with correct Prandtl number'', in ``Rarefied Gas Dynamics'' C. L. Brundin ed., Vol I, 441, Academic Press, New York (1967).

[37] Bassanini, P., Cercignani, C. and Schwendimann, P., ``The problem of a cylinder rotating in a rarefied gas'', in ``Rarefied Gas Dynamics'', C. L. Brundin ed., Vol I, 505, Academic Press, New York (1967).

[38] Bassanini, P., Cercignani, C., Sernagiotto, F. and Tironi, G., ``Scattering of waves by a medium with strong fluctuations of refractive index''. Radio Science 2, 1 (1967).

[39] Albertoni, S. and Cercignani, C., ``Metodi approssimati per la risoluzione dell'equazione di Boltzmann. Aspetti generali e loro applicazioni'', Suppl. al Nuovo Cimento, Serie I, 5, 890 (1967).

[40] Albertoni, S., Cercignani, C., Stella, P. and Taroni, A., ``Tecniche di simulazione e loro applicazioni a certi problemi di fluidodinamics'', Calcolo 3 (Suppl. 2, 89 (1966).

[41] Cercignani, C. and Tambi, R., ``Diffusion of a velocity discontinuity according to kinetic theory'', Meccanica 2, 25 (1967). | Zbl 0219.76075

[42] Cercignani, C., ``Reply to the comments by A. S. Berman'', Phys. Fluids10, 1859 (1967).

[43] Cercignani, C., ``On Boltzmann equation with cutoff potentials'', Phys. Fluids10, 2097 (1967).

[44] Cercignani, C. and Pagani, C. D., ``Tecniche variazionali nella dinamica dei gas rarefatti'' Atti del Congresso Nazionale AIDA-AIR 1965, 163 (AIDA-AIR, 1967).

[45] Bassanini, P., Cercignani, C. and Sernagiotto, F., ``Flussi di gas rarefatti in geometria cilindrica'', Atti del Congresso Nazionale AIDA-AIR 1965, 97 (AIDA-AIR, 1967).

[46] Cercignani, C. and Tironi, G., ``Alcune applicazioni di un nuovo modello linearizzato dell'equazione di Boltzmann'', Atti del Congresso Nazionale AIDA-AIR 1965, 174 (AIDA-AIR, 1967).

[47] Cercignani, C., ``Existence and Uniqueness in the Large for boundary value problems in kinetic theory'', J. Math. Phys.8, 1653 (1967). | MR 255203 | Zbl 0155.32602

[48] Cercignani, C., ``Existence, Uniqueness and convergence of the solutions of models in kinetic theory'', J. Math. Phys.9, 4 (1968). | Zbl 0162.59003

[49] Cercignani, C., ``Stokes paradox in kinetic theory'', Phys. Fluids11, 303 (1968). | Zbl 0155.55503

[50] Cercignani, C. and Tironi, G., ``New boundary conditions in the transition regime'', J. Plasma Phys. 2, 293 (1968).

[51] Cercignani, C., Foresti, P. and Sernagiotto, F., ``Dependence of the slip coefficient on the form of the collision frequency'', Nuovo Cimento, X, 57B, 297 (1968).

[52] Cercignani, C., ``Metodi di soluzione dell'equazione di Boltzmann'' Suppl. Nuovo Cimento, I, 6, 780 (1968).

[53] Cercignani, C., ``Mathematical Methods in Kinetic Theory'', Plenum Press, New York (1969). | MR 255199 | Zbl 0191.25103

[54] Cercignani, C. and Pagani, C. D., ``Rarefied flows in presence of fractionally accommodating walls'', in ``Rarefied Gas Dynamics'', L. Trilling and H. Y. Wachman eds., Vol I, 269, Academic Press, New York (1969).

[55] Cercignani, C. and Tironi, G., ``Some applications to the transition regime of a new set of boundary conditions for Navier-Stokes equations'', in ``Rarefied Gas Dynamics'', L. Trilling and H. Y. Wachman, Vol I, 281, Academic Press, New York (1969).

[56] Cercignani, C., ``Boundary value problems in linearized kinetic theory'' in ``Transport Theory'', G. Birkhoff ed., SIAM-AMS Proceedings, I, 249, AMS, Providence (1969). | MR 255203 | Zbl 0181.28504

[57] Cercignani, C. and Pagani, C. D., ``Flow of a rarefied gas past an axi-symmetric body. I. General remarks'', Phys. Fluids 11, 1395 (1968). | Zbl 0172.54602

[58] Cercignani, C., Pagani, C. D. and Bassanini, P., ``Flow of a rarefied gas past an axisymmetric body. II. Case of a Sphere'', Phys. Fluids 11, 1399 (1968). | Zbl 0172.54701

[59] Bassanini, P., Cercignani, C. and Pagani, C. D., ``Influence of the accommmodation coefficient on the heat transfer in a rarefied gas'', Int. J. Heat Mass Transfer 11, 1359 (1968). | Zbl 0182.28701

[60] Cercignani, C., ``The transition regime of rarefied gas dynamics: a survey of recent progress and present trends'' in ``Fluid Dynamic Transactions'', vol. 4, 471, Polish Academy of Sciences, Warsaw (1969).

[61] Cercignani, C., ``A variational principle for boundary value problems in kinetic theory'', J. Stat. Phys.1, 297 (1969). | Zbl 0181.28504

[62] Cercignani, C., ``Sull'universalità del profilo d'onde d'urto deboli in gas ionizzati e miscele'', Acc. Naz. Lincei, Rend. Cl. Sc. Fis, Mat. Nat., Serie VIII, 47, 206 (1969).

[63] Cercignani, C., ``Bifurcation problems in fluid mechanics'', Meccanica5, 7 (1970). | MR 261850 | Zbl 0195.27401

[64] Cercignani, C., ``Methods of solution of the linearized Boltzmann equation for rarefied gas dynamics'', J. Quant. Spectr. Rad. Transf.11, 973 (1971). | MR 413959

[65] Cercignani, C., ``Sul più generale tensore doppio a divergenza nulla su una superficie comunque curva'', Rend. Ist. Lomb. Sci. Lett., Cl. Sc. (A), 105, 932 (1971). | MR 336554

[66] Greppi, M. and Cercignani, C., ``Computer simulation of a viscous channel flow'', Meccanica 6, 125 (1971). | Zbl 0222.76025

[67] Cercignani, C. and Lampis, M., ``Kinetic models for gas-surface interactions'', Transp. Th. Stat. Phys. 1, 101 (1971). | MR 432101 | Zbl 0288.76041

[68] Cercignani, C. and Lampis, M., ``Influence of gas-surface interaction on drag and lift in free-molecular flow'', Entropie 44, 40 (1972). | MR 2765733

[69] Cercignani, C. and Lampis, M., ``Free molecular flow past a flat plate in the presence of a nontrivial gas-surface interaction'', J. Appl. Math. Phys. (ZAMP) 23, 715 (1972). | MR 2765733

[70] Cercignani, C., ``Comments on «Stokes problems in kinetic theory»'', Phys. Fluids15, 957 (1972).

[71] Cercignani, C., Galgani, L. and Scotti, A., ``Zero-point energy in classical non-linear mechanics'', Phys. Letters 38A, 403 (1972).

[72] Cercignani, C., ``On the Boltzmann equation for rigid spheres'', Transp. Th. Stat. Phys.2, 211 (1972). | MR 449375 | Zbl 0295.76048

[73] Cercignani, C., ``Scattering kernels for gas-surface interactions'', in Hypersonic flows for reentry problems. V.1: Survey Lectures and Test Cases Analysis, p. 35-54, Springer, (1991).

[74] Cercignani, C., ``Models of gas-surface interactions: comparison between theory and experiments'', in ``Rarefied Gas Dynamics'', D. Dini ed., Vol I, 75, Editrice Tecnico Scientifica, Pisa (1971). | MR 1744523

[75] Cipolla, J. W. and Cercignani, C., ``Effect of molecular model and boundary conditionson linearized heat transfer'', in ``Rarefied Gas Dynamics'', D. Dini ed., Vol II, 767, Editrice Tecnico Scientifica, Pisa (1971).

[76] Cercignani, C., ``Mathematical methods for boundary value problems in kinetic theory'', in ``Rarefied Gas Dynamics'', K. Karamcheti ed., 55, Academic Press, New York (1974).

[77] Cercignani, C. and Lampis, M., ``Half space models for gas-surface interactions'', in ``Rarefied Gas Dynamics'', K. Karamcheti ed., 361, Academic Press, New York (1974).

[78] Cercignani, C., ``On a Master equation in the space inhomogeneous case'', in ``Théorie Cinétique Classiques et Relativistes'', G. Pichon ed., Colloque C.N.R.S. n. 236, Paris (1975).

[79] Cercignani, C., ``Problemi matematici connessi con l'equazione di Boltzmann'', Rend. Sem. Mat. Fis. Milano, 43, 35 (1974). | MR 356791 | Zbl 0326.35068

[80] Cercignani, C., ``Theory and Application of the Boltzmann Equation'', Scottish Academic Press, Edinburgh (1975). | MR 406273 | Zbl 0403.76065

[81] Cercignani, C., ``On the general solution of the steady linearized Boltzmann equation'', in ``Rarefied Gas Dynamics'', M. Becker and M. Fiebig eds., Vol. I, A.9-1, DFLVR Press, Porz-Wahn (1974).

[82] Cercignani, C., ``Sull'integrale generale delle equazioni indefinite d'equilibrio per una membrana'', Atti 3° Congresso AIMETA, Cagliari (1976). | Zbl 0437.73044

[83] Cercignani, C. and Lampis, M., ``On the recovery factor in free-molecular flow'', J. Appl. Math. Phys. (ZAMP) 27, 733 (1976).

[84] Cercignani, C., ``Knudsen layers; some problems and a solution technique'', in ``Rarefied Gas Dynamics'', J. L. Potter, ed., Part II, 795, AIAA, New York (1977).

[85] Cercignani, C., ``Analytical solution of the temperature jump problem for the BGK model'', Transp. Th. Stat. Phys.6, 29 (1977). | MR 475524 | Zbl 0376.76055

[86] Cercignani, C., ``Solitons. Theory and application'', Riv. Nuovo Cim.7, 429 (1977). | MR 502758

[87] Cercignani, C., ``Closed-form solutions for some two-group problems with an isotropic scattering'', Nucl. Sci. Eng.64, 882 (1978).

[88] Cercignani, C., ``Three lectures on the Boltzmann equation'', in ``Fundamental Problems in Statistical Mechanics'', E. G. F. Cohen and W. Fiszdon, ed., Ossolinskich Wydawnictwo, Warsaw (1978).

[89] Cercignani, C., ``Knudsen layers; theory and experiment'', in ``Recent Developments in Theoretical and Experimental Fluid Mechanics'', U. Müller, K. G. Rösner and B. Schmidt, eds., Springer, Berlin (1979).

[90] Cercignani, C., ``Transition regime and Boltzmann equation'', in ``Rarefied Gas Dynamics'', R. Campargue, ed., Vol. I, 141, CEA, Paris (1979).

[91] Cercignani, C. and Neudacin, I., ``Rarefied gas flow through long slots'', J. Appl. Math. Phys. (ZAMP) 30, 943 (1979). | Zbl 0422.76045

[92] Cercignani, C., Greenberg, W. and Zweifel, P. F., ``Global solution of the Boltzmann equation on a lattice'', J. Stat. Phys. 20, 449 (1979). | MR 532606

[93] Cercignani, C., ``Heat transfer in a Knudsen gas'', Physica97A, 440 (1979).

[94] Cercignani, C. and Lampis, M., ``Wall induced polarization in plane Couette flow of a polyatomic gas in the Knudsen regime'', Physica 99A, 305 (1979).

[95] Cercignani, C., ``Esistenza e unicità della funzione di distribuzione per un gas di Knudsen tra due lastre parallele'', Riv. Mat. Univ. Parma5, 363 (1979). | MR 584216 | Zbl 0428.76060

[96] Cercignani, C., ``A nonlinear criticality problem in the kinetic theory of gases'', in ``Mathematical Problems in the Kinetic Theory of Gases'', D. C. Pack and H. Neunzert, eds., 129, P. Lang, Frankfurt (1980). | MR 713617 | Zbl 0458.76055

[97] Arthur, M. D. and Cercignani, C., ``Nonexistence of a steady rarefied supersonic flow in a half-space'', J. Appl. Math. Phys. (ZAMP) 31, 634 (1980). | MR 599520 | Zbl 0449.76056

[98] Cercignani, C. and Lampis, M., ``Polarization of a polyatomic gas due to gas-surface interaction'', in ``Rarefied Gas Dynamics'', S. S. Fisher ed., Part I, 109, AIAA, New York (1981).

[99] Cercignani, C., ``Strong evaporation of a polyatomic gas'', in ``Rarefied Gas Dynamics'', S. S. Fisher ed., Part I, 305, AIAA, New York (1981).

[100] Cercignani, C., ``Methods of solution of the Boltzmann equation for rarefied gases'', in ``Rarefied Gas Flows. Theory and Experiment'', W. Fiszdon ed., 3, Springer, Wien (1981).

[101] Cercignani, C. and Lampis, M., ``On the H-theorem for polyatomic gases'', J. Stat. Phys. 26, 795 (1981). | MR 648996

[102] Cercignani, C. and Siewert, C. E., ``On partial indices for a matrix Riemann-Hilbert problem'', J. Appl. Math. Phys. (ZAMP) 33, 297 (1981). | MR 661044 | Zbl 0483.76090

[103] Cercignani, C., ``Polarization creep in polyatomic gas'', Physica115A, 143 (1982).

[104] Cercignani, C. and Protopopescu, V., ``The spectral decomposition for a class of linear transport operators'', J. Stat. Phys. 29, 363 (1982). | MR 684956 | Zbl 0512.47021

[105] Cercignani, C., Geppert, L. and Lampis, M., ``Computation of the polarization creep tensor'', Physica 121A, 531 (1983). | MR 2765733

[106] Battarra, V. and Cercignani, C., ``One-dimensional unsteady flows of solid-liquid suspensions'', Meccanica 17, 67 (1982). | Zbl 0523.76086

[107] Aoki, K. and Cercignani, C., ``Evaporation and condensation on two parallel plates at finite Reynolds numbers'', Phys. Fluids 26, 1163 (1983). | MR 788537

[108] Cercignani, C., ``Speed of propagation of infinitesimal disturbances in a relativistic gas'', Phys. Rev. Lett.50, 1122 (1983). | MR 700073

[109] Cercignani, C., ``The Grad limit for a system of soft spheres'', Comm. Pure Appl. Math.36, 479 (1983). | MR 709645 | Zbl 0505.76088

[110] Cercignani, C., ``H-theorem and trend to equilibrium in the kinetic theory of gases'', Arch. Mech.34, 231 (1982). | MR 715658 | Zbl 0538.76068

[111] Cercignani, C., ``Solution of the Boltzmann equation'', in ``Nonequilibrium phenomena I. The Boltzmann equation'', J. L. Lebowitz and E. W. Montroll, eds., North Holland, Amsterdam (1983). | MR 724621

[112] Aoki, K. and Cercignani, C., ``A technique for time-dependent boundary value problems in the kinetic theory of gases. Part I. Basic analysis'', J. App. Math. Phys. (ZAMP) 35, 127 (1984). | MR 756400 | Zbl 0545.76078

[113] Aoki, K. and Cercignani, C., ``A technique for time-dependent boundary value problems in the kinetic theory of gases. Part II. application to sound propagation'', J. App. Math. Phys. (ZAMP) 35, 345 (1984). | MR 758787 | Zbl 0565.76077

[114] Cercignani, C. and Majorana, A., ``Propagation of infinitesimal disturbances in a gas according to a relativistic model'', Meccanica, 19, 175 (1984). | MR 767047 | Zbl 0562.76122

[115] Aoki, K. and Cercignani, C., ``On the matrix Riemann-Hilbert problem relevant to Rayleigh scattering'', J. App. Math. Phys. (ZAMP) 36, 61 (1985). | MR 785927

[116] Cercignani, C. and Lampis, M., ``Variational approach to rarefied gas flows in an external force field with an application to the gas centrifuge'', in ``Rarefied Gas Dynamics'', H. Oguchi ed., Vol. I, 89, University of Tokyo Press, Tokyo (1984).

[117] Cercignani, C., Galgani, L., Montaldi, E. and Sirtori, M., ``Quantization à la Nernst for the plane rotator'', Lett. Nuovo Cimento 40, 235 (1984).

[118] Cercignani, C., ``Boltzmann Equation and Rarefied Gas Dynamics'' in ``Recent Advances in the Aerospace Sciences'', C. Casci Ed., p. 75Plenum Publishing Corporation New York (1986). | MR 1007992

[119] Cercignani, C., ``Sur des critéres d'existence globale en théorie cinétique discrète'' C.R. Acad. Sc. Paris301, Série I, no. 3, 89 (1985). | MR 799476 | Zbl 0622.76080

[120] Cercignani, C., ``Collision Models in Classical and Relativistic Kinetic Theory'' Nuovo Cimento87A, 96 (1985).

[121] Cercignani, C. and Majorana, A. ``Analysis of thermal sound and shear waves according to a relativistic kinetic model'' Phys. Fluids 28, 1673 (1985). | MR 811431 | Zbl 0603.76128

[122] Cercignani, C. and Majorana, A. ``Analysis of thermal and shear waves according to BGK kinetic model'', ZAMP 36, 699 (1985). | MR 811431 | Zbl 0573.76068

[123] Cercignani, C., Fiszdon, W. and Frezzotti, A. ``The paradox of the inverted tempera- ture profiles between an evaporating and a condensing surface'', Phys. Fluids 28, 3237 (1985).

[124] Cercignani, C. and Lampis, M. ``A new boundary phenomenon in kinetic theory'' in ``Rarefied Gas Dynamics'' Vol. I. p. 830, M. Belotserkovski, M. N. Kogan, S. S. Kutateladze and A. K. Rebrov eds., Plenum Press, New York (1985).

[125] Cercignani, C. ``Recenti sviluppi nella teoria cinetica relativistica'' in ``atti del VI Convegno Nazionale di Relatività Generale e Fisica della Gravitazione'' a cura di R. Fabbri e M. Modugno, p. 83, Pitagora Bologna (1986).

[126] Cercignani, C., ``Mathematical Problems in the Kinetic Theory of Gases'' in ``Mathematical Models and Methods in Mechanics'' Banach Center Publications, Vol. 15, p. 97, PWN Polish Scientific Publishers, Warsaw (1985). | MR 874843 | Zbl 0668.76084

[127] Cercignani, C., ``Methods in the Kinetic Theory of Gases Relevant to Nuclear Dynamics'' in ``Phase Space Approach to Nuclear Dynamics'', M. Di Toro, W. Nrenberg, M. Rosina and S. Stringari Eds., p. 153, World Scientific Publishing Co., Singapore (1986).

[128] Cercignani, C., ``Solutions of a Linearized Kinetic Model for an Ultrarelativistic Gas'', Jour. Stat. Phys.42, 601-620(1986). | MR 833033

[129] Cercignani, C., ``Half-space problems in the Kinetic Theory of Gases'' in ``Trends in Applications of Pure Mathematics to Mechanics'', E. Krner and K. Kirchgssner Eds., Springer, Berlin (1986). | MR 851798 | Zbl 0594.76068

[130] Cercignani, C., ``Kinetic Theory of a Dense Gas of Rough Spheres'' J. Non Equilib. Thermodyn.11, 145 (1986). | Zbl 0607.76075

[131] Cercignani, C., Frezzotti, A. and Lampis, M. ``High Mach Number Flow of a Rarefied Gas Past an Almost Speculaly Reflecting Plate'' Transp. Theory Stat. Phys. 15, 973 (1986). | Zbl 0623.76081

[132] Cercignani, C. and Lampis, M. ``Kinetic Theory Analysis of the Scott Effect'' in ``Rarefied Gas Dynamics'', V. Boffi and C. Cercignani, Eds., Vol. I, p. 336, B.G. Teubner, Stuttgart (1986). | MR 1079940 | Zbl 0623.76087

[133] Kremer, G. M. and Cercignani, C., ``Wave Propagation in a Rarefied Gas of Rough Spheres'' in ``Rarefied Gas Dynamics'', V. Boffi and C. Cercignani, Eds., Vol. I, p. 110, B.G. Teubner, Stuttgart (1986). | Zbl 0614.76080

[134] Cercignani, C. and Shinbrot, M., ``Global Existence for Some Discrete Velocity Models'', Comm. in PDE 12, 307-314 (1987). | MR 882959 | Zbl 0619.35070

[135] Cercignani, C. and Palczewski, A.,``Existence and Uniqueness for Nonlinear Boundary Value Problem'', J. Stat. Phys. 46, 273 (1987). | MR 887249 | Zbl 0681.76076

[136] Cercignani, C., ``Existence of Global Solutions for the Space Inhomogeneous Enskog Equation'', Transp. Theory Stat. Phys., 16, 213 (1987). | MR 898479 | Zbl 0629.76083

[137] Cercignani, C., ``Global existence for a Model Boltzmann Equation'', J. Stat. Phys.49, 1083 (1987). | MR 935486 | Zbl 0960.82513

[138] Cercignani, C., Illner, R. and Shinbrot, M., ``A Boundary Value Problem for Discrete Velocity Models'', Duke Math. J. 51, 889-900 (1987). | MR 916126 | Zbl 0647.76050

[139] Cercignani, C., Illner, R. and Shinbrot, M., ``A Boundary Value Problem for the Two Dimensional Broadwell Model'', Comm. Math. Phys. 114 687-698 (1988). | MR 929135 | Zbl 0668.76091

[140] Cercignani, C. and Majorana, A., ``Structure of shock waves in relativistic simple gases'', Phys. Fluids 31, 1064 (1988). | Zbl 0643.76133

[141] Cercignani, C., Lampis, M., Sgarra, C., ``L1 Stability near Equilibrium of the Solution of the Homogeneous Boltzmann Equation in the Case of Maxwellian Molecules'', Meccanica23, 15 (1988). | MR 980181 | Zbl 0667.76119

[142] Cercignani, C., ``Small Data Existence for the Enskog equation in L1``, J. Stat. Phys.51, 291 (1988). | MR 952757 | Zbl 1086.82540

[143] Cercignani, C., `` Problemi di evoluzione e stazionari nella teoria cinetica dei gas'', Boll. U.M.I.(7) 21A, 319 (1988).

[144] Cercignani, C., Sgarra, C. and Lampis, M. ``On the Relation between the Scattering Kernel and the Standard Formulation of the Boltzmann Equation'', Il Nuovo Cimento 101B, 523 (1988). | MR 972421 | Zbl 0667.76119

[145] Cercignani, C., ``Nonlinear Problems in the Kinetic Theory of Gases'' in ``Trends in Applications of Mathematics to Mechanics'', J. F. Besseling and W. Eckhaus Eds., Springer, Berlin (1988). | MR 976905

[146] Cercignani, C. and Lampis, M., ``On the Kinetic Theory of a Dense Gas of Rough Spheres'', J. Stat. Phys. 53, 655 (1988). | MR 980153 | Zbl 0677.76080

[147] Cercignani, C., Illner, R., Pulvirenti, M. and Shinbrot, M., ``On Nonlinear Stationary Half-Space Problems in Discrete Kinetic Theory'' J. Stat. Phys. 52, 885-896 (1988). | MR 968962 | Zbl 1084.82561

[148] Cercignani, C., ``Existence of Homoenergetic Affine Flows for the Boltzmann Equation'', Arch. Rat. Mech. Anal.105, 377 (1989). | MR 973248 | Zbl 0697.76089

[149] Cercignani, C., ``Recent Results in The Kinetic Theory of Gases'' Rend. Sem. Mat. Univers. Politecn. Torino, Fascicolo Speciale ``Hyperbolic Equations'', 47 (1988). | MR 1007366 | Zbl 0679.45007

[150] Cercignani, C., ``Meccanica dei materiali granulari e teoria cinetica dei gas: una notevole analogia'', Atti Sem. Mat. Fis. Univ. ModenaXXXVII, 481 (1989).

[151] Cercignani, C., ``Discrete models in kinetic theory'' in ``Discrete Kinetic Theory Lattice Gas Dynamics and Foundations of Hydrodynamics'' edited by R. Monaco p.62, World Scientific, Singapore (1989). | MR 1126710

[152] Cercignani, C., ``A singular inverse scattering approach to nondispersive hyperbolic systems'' in ``Nonlinear Wave Motion'' edited by A. Jeffrey, Longman Scientific and Technical, Harlow (1989). | MR 1013422 | Zbl 0723.58028

[153] Cercignani, C., ``Kinetic Theory with ``Bounce-Back'' Boundary Conditions'', Transp. Theory Stat. Phys.18, 125 (1989). | MR 1006671 | Zbl 0675.76081

[154] Cercignani, C., ``Onde di piccola ampiezza in teoria cinetica classica e relativistica'' in Atti del III Meeting Waves and Stability in Continuous Media a cura di M. Maiellaro e L. Palese, Bari (1989).

[155] Arkeryd, L. and Cercignani, C., ``On the Convergence of Solutions of the Enskog Equation to Solutions of the Boltzmann Equation'' Comm. in PDE 14, 1071 (1989). | MR 1017064 | Zbl 0688.76053

[156] Cercignani, C. and Lampis, M., ``Variational Calculation of the Slip Coefficient and the Temperature Jump for Arbitrary Gas Surface Interactions'' in ``Rarefied Gas Dynamics: Space Related Studies'', Edited by E.P. Muntz, D.P. Weaver and D. H. Campbell, p. 553 AIAA Washington (1989).

[157] Cercignani, C. and Frezzotti, A., ``Numerical Simulation of Supersonic Rarefied Gas Flows Past a Flat Plate: Effects of the Gas Surface Interaction Model on the Flowfield'' in ``Rarefied Gas Dynamics: Theoretical and Computational Techniques'', Edited by E.P. Muntz, D.P. Weaver and D. H. Campbell, p. 552 AIAA Washington (1989).

[158] Cercignani, C., ``Are There More than Five Linearly-independent Collision Invariants for the Boltzmann Equation?'', J. Stat. Phys.58, 817-824 (1990). | MR 1049048 | Zbl 0718.60113

[159] Cercignani, C., ``Equilibrium States and Trend to Equilibrium in a Gas According to the Boltzmann Equation'', Rendiconti di Matematica Serie VII 10, 77-95 (1990). | MR 1060473 | Zbl 0723.76079

[160] Arkeryd, L. and Cercignani, C., ``Global Existence in L1 for the Enskog Equation and Convergence of the Solutions to Solutions of the Boltzmann Equation'', J. Stat. Phys. 59, 845-867 (1990). | MR 1063185 | Zbl 0780.76066

[161] Arkeryd, L. and Cercignani, C., ``On a functional equation arising in the kinetic theory of gases'', Rend. Mat. Acc. Lincei s. 9, 11, 139-149 (1990). | MR 1081397 | Zbl 0703.76062

[162] Cercignani, C., ``Physical problems and rigorous results in kinetic theory'' in ``Applied and Industrial Mathematics'' R. Spigler Ed., 314 Kluwer, Dordrecht (1991). | MR 1147187 | Zbl 0719.35072

[163] Cercignani, C., ``Case's method and linearized kinetic theory'' in ``Operator Theory: Advances and Applications'' Vol. 51, W. Greenberg Ed., p. 719, Birkhuser Basel (1991). | MR 1120055 | Zbl 0733.35091

[164] Cercignani, C., ``Mathematics and the Boltzmann Equation'' in ``Rarefied Gas Dynamics'' Edited by A. E. Beylich, p. 3, VCH, Weinheim (1991). | Zbl 0850.76620

[165] Cercignani, C. and Lampis, M. ``Variational Calculation of the Temperature Jump for a Binary Mixture'' in ``Rarefied Gas Dynamics'' Edited by A. E. Beylich, p. 1379-1384, VCH, Weinheim (1991).

[166] Cercignani, C. and Lancellotti, C. ``Velocity Slip for Curved Shock Waves'' in ``Rarefied Gas Dynamics'' Edited by A. E. Beylich, p. 153-160, VCH, Weinheim (1991).

[167] Cannone, M. and Cercignani, C., ``The inverse conjecture for the revised Enskog equation'', J. Stat. Phys. 63, 363-387 (1991). | MR 1115589

[168] Cercignani, C., ``Trend to Equilibrium in a Gas According to the Boltzmann Equation'' in ``Advances in Kinetic Theory and Continuum Mechanics'', R. Gatignol and Soubbaramayer Eds., Springer-Verlag Berlin-Heidelberg (1991). | MR 1007992

[169] Cercignani, C., ``The trend to equilibrium in discrete and continuous kinetic theory: a comparison'' in ``Discrete Models of Fluid Dynamics'' A. S. Alves Ed. 12-21, World Scientific, Singapore (1991). | MR 1192791

[170] Cercignani, C., ``Mathematical models in rarefied gas dynamics'' in Surveys on Mathematics for Industry1, 119-143 (1991). | MR 1133620 | Zbl 0850.76620

[171] Cannone, M. and Cercignani, C., ``A Trace Theorem in Kinetic Theory'', Appl. Math. Lett. 4, 63-67 (1991). | MR 1136615 | Zbl 0744.45005

[172] Cercignani, C., ``On the initial-boundary value problem for the Boltzmann equation'', Arch. Rat. Mech. Anal.116, 30-7315 (1991). | MR 1132764

[173] Arkeryd, L., Cercignani, C. and Illner, R. ``Measure Solutions of the Steady Boltzmann Equation in a Slab'', Commun. Math. Phys. 142, 285-296 (1991). | MR 1137065 | Zbl 0733.76063

[174] Cercignani, C., ``Problemi ai valori al contorno in teoria cinetica discreta'', Atti Acc. Peloritana68 Suppl., 277-290 (1991).

[175] Cercignani, C. and Sgarra, C., ``Half-Range Completeness for the FokkerPlanck Equation with an External Force'', J. Stat. Phys. 66, 1575-1582 (1992). | MR 1156415 | Zbl 0925.60060

[176] Cercignani, C., ``L'impercettibile confine tra caso e necessità'' in ``Fluidodinamica Stocastica'', Atti della III Riunione del Gruppo AIMETA di ``Meccanica Stocastica'', 302- 314, CUEN, Napoli (1991).

[177] Cercignani, C. and Sharipov, F., ``Gaseous mixture slit flow at intermediate Knudsen Numbers'', Phys. Fluids A 4, 1283-1289 (1992). | Zbl 0767.76064

[178] Stefanov, S. and Cercignani, C., ``Monte Carlo Simulation of Benard's Instability in a Rarefied Gas'', Euro. J. of Mechanics B 11 543-553 (1992). | MR 1184227 | Zbl 0764.76060

[179] Cercignani, C., ``A remarkable inequality for the solutions of the Boltzmann equation'', Appl. Math. Lett.5, 59-62 (1992). | MR 1345903 | Zbl 0762.35090

[180] Cercignani, C., ``Measure Solutions of the Steady Boltzmann Equation in a Slab'' in ``Probabilistic Methods in Mathematical Physics'' F. Guerra, M. I. Loffredo and C. Marchioro, Eds., 155-165, World Scientific, Singapore (1992). | MR 1189369

[181] Cercignani, C., Frezzotti, A. and Mignemi, B., ``Direct Simulation of Hypersonic Rarefied Flows Past a Delta Wing'', Transp. Th. Stat. Phys. 21, 343-356 (1992). | Zbl 0789.76071

[182] Cercignani, C. and Stefanov, S., ``Bénard's instability in Kinetic Theory'', Transp. Th. Stat. Phys. 21, 371-381 (1992). | Zbl 0793.76042

[183] Cercignani, C., ``On a criterion for the existence of traces in kinetic theory'' in ``Nonsmooth Optimization Methods and Applications'' F. Giannessi ed., Gordon and Breach, Philadelphia (1992). | MR 1263490 | Zbl 1050.82543

[184] Cercignani, C., ``Une histoire de la Théorie cinetique des gaz'', La Vie des Sciences9, 275-285 (1992). | MR 1214858

[185] Cercignani, C., ``Dinamica dei gas rarefatti: concetti problemi e metodi di calcolo'', Atti Acc. Sci. Torino127, Suppl. 1, 716 (1993).

[186] Cercignani, C., Frezzotti, A. and Kogan, M. N., ``On the absence of motion in certain nonequilibrium states of gases and vapors in free-molecular regime: general considerations and pipe flow'', Phys. Fluids 5, 2551-2556 (1993). | MR 1240909 | Zbl 0795.76070

[187] Cercignani, C., ``Exact solutions of the Boltzmann equation'', in ``Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics'', N. H. Ibragimov Et Al., eds., p. 125-126, Kluwer, Dordrecht (1993). | MR 1259547

[188] Cercignani, C., ``Hyperbolic problems in kinetic theory'', in ``Nonlinear Hyperbolic Problems: Theoretical, Applied and Computational Aspects'', A. Donato and F. Oliveri, Eds. (1993). | MR 1262356 | Zbl 0921.35173

[189] Stefanov, S. and Cercignani, C., ``Monte Carlo simulation of the Taylor-Couette flow of a rarefied gas'', J. Fluid Mech. 256, 199-213 (1993). | MR 1251404 | Zbl 0785.76068

[190] Arkeryd, L. and Cercignani, C., ``A global existence theorem for the initial boundary value problem for the Boltzmann equation when the boundaries are not isothermal'', Arch. Rat. Mech. Anal. 125, 271-288 (1993). | MR 1245073 | Zbl 0789.76075

[191] Cercignani, C., ``On the thermodynamics of a discrete velocity gas'', Transp. Th. Stat. Phys.23, 1-8 (1994). | MR 1257651 | Zbl 0811.76078

[192] Cercignani, C., ``Resolution of the paradoxes related to the Boltzmann equation in the light of recent mathematical developments'', in ``Proceedings of the International Symposium on Ludwig Boltzmann'', G. Battimelli, M. G. Ianniello and O. Kresten, eds., 203-213, Verlag der österreischen Akademie der Wissenschaften, Wien (1993). | MR 1700775

[193] Cercignani, C., ``Turbulence and rarefied gas dynamics'', Acta Mechanica Suppl.4, 39-46 (1994).

[194] Stefanov, S. and Cercignani, C., ``Monte Carlo Simulation of a channel flow of a rarefied gas'', Euro. J. of Mechanics B 13 93-114 (1994). | MR 1268983 | Zbl 0799.76065

[195] Stefanov, S. and Cercignani, C., ``Taylor-Couette flow of a rarefied gas'', in ``Proceedings of the International Symposium on Aerospace and Fluid Science'', p. 490-500, Institute of Fluid Science, Tohoku University, Sendai (1994). | MR 1251404

[196] Cercignani, C., ``Methods of the kinetic theory of gases relevant to the kinetic models for semiconductors'', in ``Semiconductors Part II'', W. M. Coughran, Jr., p. 109-121 et al., Springer, New York (1994). | Zbl 0946.76521

[197] Cercignani, C. and Cortese, S., ``Validation of a Monte Carlo Simulation of the Plane Couette Flow of a Rarefied Gas'', J. Stat. Phys. 75, 817-838 (1994). | Zbl 0834.76066

[198] Cercignani, C., ``An explicitly solvable kinetic model for semiconductors'', J. Stat. Phys.77, 1039-1048 (1994). | MR 1301930 | Zbl 0839.76075

[199] Cercignani, C., ``Mathematical problems in the gas-dynamics of high-altitude flight'', in Applied Mathematics in Aerospace Science and Engineering, 35-47, A. Miele and A. Salvetti, eds., Plenum Press, New York (1994). | MR 1318696 | Zbl 0852.76081

[200] Cercignani, C., ``Inverted temperature gradient in a vapor'', in Rarefied Gas Dynamics: Theory and Simulations, B. D. Shizgal and D. P. Weaver, eds., pp. 515-520, AIAA, Washington (1994).

[201] Cercignani, C., Lampis, M. and Lentati, A., ``Calculation of the slip coefficient for a mixture'', in Rarefied Gas Dynamics: Theory and Simulations, B. D. Shizgal and D. P. Weaver, eds., pp. 565-573, AIAA, Washington (1994).

[202] Cercignani, C., Frezzotti, A. and Sibilla, S., ``Hypersonic Rarefied Flows DSMC Analysis by a Simplified Chemical Model'', Meccanica, 30, 93-104 (1995).

[203] Cercignani, C., ``Weak solutions of the Boltzmann equation and energy conservation'', Appl. Math. Lett.8, 53-59 (1995). | MR 1357252 | Zbl 0830.35107

[204] Cercignani, C., Lampis, M. and Lentati, A., ``Variational calculation of the temperature jump for a polyatomic gas'', in Rarefied Gas Dynamics 19, J. Harvey and G. Lord, eds., Vol. II, pp. 1023-1029, Oxford University Press, Oxford (1995). | MR 1387598

[205] Cercignani, C. and Stefanov, S., ``Vortices and turbulence in hyppersonic rarefied flows'', in Rarefied Gas Dynamics 19, J. Harvey and G. Lord, eds., Vol. II, pp. 1146-1153, Oxford University Press, Oxford (1995). | MR 1387598

[206] Cercignani, C., Lampis, M. and Lentati, A., ``On the drag and heat transfer coefficients in free-molecular flow'', in Rarefied Gas Dynamics 19, J. Harvey and G. Lord, eds., Vol. II, pp. 1190-1196, Oxford University Press, Oxford (1995).

[207] Cercignani, C., ``Existence globale pour un modèle semi-continu de l'équation de Boltzmann'', C.R. Acad. Sci. (Paris), Série I, 321, 125-129 (1995). | MR 1340096 | Zbl 0843.76068

[208] Cercignani, C., ``Errata: Weak solutions of the Boltzmann equation and energy conservation'', Appl. Math. Lett.8, 95-99 (1995). | MR 1356304 | Zbl 0841.35093

[209] Cercignani, C., Frezzotti, A. and Sgarra, C., ``Comments on «Extension of the Mott-Smith method to denser gases» [Phys. Fluids A 4, 1856 (1992)]'', Phys. Fluids A 7, 1507- 1509 (1995).

[210] Kogan, M. N. and Bobrov, I. N., Cercignani, C. and Frezzotti, A., ``Interaction of evaporating and condensing particles in the free-molecular regime'', Phys. Fluids 7, 1775-1781 (1995). | MR 1336102 | Zbl 1027.76643

[211] Cercignani, C., ``Recent developments in the mechanics of granular materials, in Fisica matematica e ingegneria del le strutture: rapporti e compatibilità, G. Ferrarese, ed., 119-132, Pitagora Editrice, Bologna (1995).

[212] Cercignani, C., ``Aerodynamical Applications of the Boltzmann Equation'', La Rivista del Nuovo Cimento18, 7, 1-40 (1995). | MR 1007992

[213] Lampis, C.Cercignani, M. and Lentati, A., ``A new scattering kernel in kinetic theory of gases'', Transp. Th. Stat. Phys. 24, 1319-1336 (1995). | MR 1362332 | Zbl 0874.76076

[214] Abbà, A., Bucci, R., Cercignani, C., Valdettaro, L., ``New variants to the dynamic subgrid model'', in Small scale structures in three-dimensional hydrodynamic and magnetohydrodynamic turbulence, Meneguzzi et al. eds., 231-237, LNP 462, Springer, Berlin (1995). | Zbl 0875.76361

[215] Cercignani, C., ``On global existence theorems for the initial value problem for the Boltzmann equation'', in Asymptotic modelling in fluid mechanics, P. A. Boisetal. eds., 165-178, LNP442, Springer, Berlin (1995). | MR 1359296 | Zbl 0938.76095

[216] Cercignani, C., ``Mathematical problems in rarefied gas dynamics'', in ICIAM 95, K. Kirchgässner Et Al. eds., 19-38, Akademie Verlag, Berlin (1996). | MR 1387598 | Zbl 0848.76080

[217] Cercignani, C. and Illner, R., ``Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions'', Arch. Rational Mech. Anal. 134, 1-16 (1996). | MR 1392307 | Zbl 0937.45007

[218] Cercignani, C., ``Trend to equilibrium of global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions'', Jour. Stat. Phys.84, 875-888 (1996). | MR 1400189 | Zbl 1081.82614

[219] Abbà, A., Cercignani, C., Valdettaro, L. and Zanini, P., ``LES of thermal convectionand investigation in soft/hard turbulent regimes'', in Computational Fluid Dynamics, J. A. Désidéri et al. eds., 877-883, Wiley, Chichester (1996).

[220] Cercignani, C., ``Initial-Boundary Value Problems for the Boltzmann equation'', Transp. Th. Stat. Phys.25, 425-436 (1996). | MR 1407544 | Zbl 0895.76082

[221] Cercignani, C., ``Recent results on the Boltzmann equation'', Rend. Acc. Lincei, 7, 83-112 (1996). | MR 1438608 | Zbl 0870.76072

[222] Biscari, P., Cercignani, C., ``Stress and heat flux in non-inertial reference frames'', Continuum Mech. Thermodyn.9, 1-11 (1997). | MR 1467121 | Zbl 0891.76077

[223] Cercignani, C., ``The Boltzmann equation and high altitude aerodynamics'' in Boltzmann's legacy 150 years after his birth, 25-40, Atti dei Convegni Lincei131, Accademia Nazionale dei Lincei, Roma (1997). | MR 1800474 | Zbl 1112.76447

[224] Cercignani, C., ``Instabilities of the solutions of the Boltzmann equation'', Rend. Circolo Mat. Palermo, serie II, 45, 101-110 (1996). | MR 1461066

[225] Cercignani, C. and Lampis, M., ``New scattering kernel for gas-surface interaction'', AIAA Journal, 35, 1000-1001 (1997). | Zbl 0892.76076

[226] Toepffer, C. and Cercignani, C., ``Analytical results for the Boltzmnann equation'', Contrib. Plasma Phys., 37, 279-291 (1997).

[227] Cercignani, C., Gamba, I. M. and Levermore, C. D., ``High field approximations to a Boltzmann-Poisson System and Boundary Conditions in a Semiconductor'', Appl. Math. Lett. 10, n. 4, 111-118 (1997). | MR 1458163 | Zbl 0894.76072

[228] Cercignani, C. and Lampis, M., ``A new model for the differential cross-section of a polyatomic gas'', in Rarefied Gas Dynamics 19, Ching Shen, ed., pp. 731-736, Peking University Press, Beijing (1997).

[229] Cercignani, C., ``Temperature, entropy and kinetic theory'', Jour. Stat. Phys.87, 1097-1109 (1997). | MR 1470644 | Zbl 0945.82553

[230] Abb, A.à, C. CERCIGNANI, L. VALDETTARO and P. ZANINI, ``LES of turbulent thermal convection'', in Direct and Large Simulation II, J.-P. Chollet, P.R. Voke and L. Kleiser, eds., 147-156, Kluwer Academic Publishers, Dordrecht (1997).

[231] Cercignani, C., ``Existence and trend to equilibrium of weak solutions of the Boltzmann equation'', Nonlinear Analysis, 30, 3749-3761 (1997). | MR 1602934 | Zbl 0907.35100

[232] Cercignani, C., ``Recent developments in the theory of the Boltzmann equation'', in Recent Advances in Partial Differential Equations, Venice 1996, R. Spigler and S. Venakides, eds., Proceedings of Symposia in Applied Mathematics, Vol. 54, American Mathematical Society, Providence, R.I. (1998). | MR 1492692

[233] Cercignani, C., Marra, R. and Esposito, R., ``The Milne problem witha force term'', Transp. Th. Stat. Phys. 27, 1-34 (1998). | MR 1606569 | Zbl 0899.76319

[234] Stefanov, S. and Cercignani, C., ``Monte Carlo Simulation of the propagation of a disturbance in the channel flow of a rarefied gas'', Computers Math. Applic. 35 41-53 (1998). | MR 1605131 | Zbl 0911.76070

[235] Stefanov, S., Gospodinov, P., Cercignani, C., ``Monte Carlo Simulation and Navier- Stokes Finite Difference Calculation of Unsteady-State Rarefied Gas Flows'', Phys. Fluids10, pp. 289-300, 1998.

[236] Cercignani, C., Lampis, M. and Struckmeier, J., ``New models for the differential cross section of a polyatomic gas in the frame of the scattering kernel theory'', Mech. Res. Comm. 25, 231-236 (1998). | MR 1618164 | Zbl 0964.76079

[237] Bobylev, A. V. and Cercignani, C., ``Discrete velocity models for mixtures'', Jour. Stat. Phys. 91, 327-342 (1998). | MR 1632502 | Zbl 0917.76075

[238] Cercignani, C., ``Measure solutions of the steady nonlinear Boltzmann equation in a slab'', Commun. Math. Phys.197, 199-210 (1998). | MR 1646503 | Zbl 0920.35156

[239] Cercignani, C., Gamba, I., Jerome, J.W. and Shu, C.-S.. ``Applicability of the high field model: an analytic study via asymptotic parameters defining domain decomposition'', VLSI Design 8, 135-141 (1998). | MR 1742236

[240] Cercignani, C., Gamba, I., Jerome, J.W. and Shu, C.-S.. ``Applicability of the high field model: an preliminary numerical study'', VLSI Design 8, 275-282 (1998). | MR 1742236

[241] Cercignani, C., ``A first approach to solutions for the steady nonlinear Boltzmann equation'', Suppl. Rend. Circolo Mat. Palermo, serie II, 57, 121-131 (1998). | MR 1708502 | Zbl 0944.76078

[242] Cercignani, C. and Kremer, G.M., ``On relativistic collision invariants'', Jour. Stat. Phys. 96, 439-445 (1999). | MR 1706733 | Zbl 0964.82046

[243] Cercignani, C., Frezzotti, A. and Grosfils, P., ``The structure of an infinitely strong shock wave'', Phys. Fluids 11, 2757- 2764 (1999). | MR 1707822 | Zbl 1149.76336

[244] Bobylev, A. V. and Cercignani, C., ``Discrete velocity models for mixtures'', in Rarefied Gas Dynamics, R. Brun, R. Campargue, R. Gatignol and J.-C. Lengrande, eds., Vol. I, pp. 71-78, Cépaduès éditions, Toulouse (1999).

[245] Stefanov, S., Roussinov, V., Cercignani, C., Giurin, M.C., Struckmeier, J., ``Ray-leigh- Bénard chaotic convection of a rarefied gas'', in Rarefied Gas Dynamics, R. Brun, R. Campargue, R. Gatignol, J.-C. Lengrande, eds., Vol. I, pp. 697-694, Cépaduès éditions, Toulouse (1999).

[246] Cercignani, C., Lampis, M., Struckmeier, J., ``Homogeneous relaxation and shock wave structure for a polyatomic gas'', in Rarefied Gas Dynamics, R. Brun, R. Campargue, R. Gatignol, J.-C. Lengrande, eds., Vol. II, pp. 61-68, Cépaduès éditions, Toulouse (1999).

[247] Cercignani, C., Lampis, M., ``A new model for the boundary conditions of the Boltzmann equation'', Mech. Res. Comm.26, 451-456 (1999). | MR 1711105 | Zbl 0978.76080

[248] Cercignani, C., Giurin, M.C., ``Measure solutions for the steady linear Boltzmann equation in a slab'', Transport Theory Statist. Phys.28521-529 (1999). | MR 1705622 | Zbl 0940.35165

[249] Bobylev, A. V., Cercignani, C., ``On the rate of entropy production for the Boltzmann equation'', J. Statist. Phys.94, 603-618 (1999). | MR 1675366 | Zbl 0958.82040

[250] Bobylev, A. V. and Cercignani, C., ``Discrete velocity models without nonphysical invariants'', Jour. Stat. Phys. 97, 677-686 (1999). | MR 1736102 | Zbl 0958.82041

[251] Cercignani, C. and Kremer, G.M., ``Trend to equilibrium of a degenerate relativistic gas'', Jour. Stat. Phys. 98, 441-456 (2000). | MR 1745845 | Zbl 0958.82042

[252] Cercignani, C., ``Il secondo principio della termodinamica e la meccanica statistica'', Riv. Mat. Univ. Parma, 2*, 117-122 (1999). | MR 1752794

[253] Cercignani, C. and Cornille, H., ``Shock waves for a discrete velocity mixture'', Jour. Stat. Phys. 99, 115-140 (2000). | MR 1762658 | Zbl 0972.82072

[254] Cercignani, C., ``Propagation phenomena in classical and relativistic rarefied gases'', Transport Theory Statist. Phys.29607-614 (2000). | MR 1770447 | Zbl 1017.82043

[255] Cercignani, C., Gamba, I., Jerome, J. W. and Shu, C.-S., ``A domain decomposition method for silicon devices'', Transport Theory Statist. Phys. 29 525-536 (2000). | Zbl 1028.82021

[256] Cercignani, C., Lampis, M. and Struckmeier, J., ``Applications of a new model for the differential cross section of a classical polyatomic gas'', Transport Theory Statist. Phys. 29, 355-374 (2000). | Zbl 0990.82024

[257] Cornille, H. and Cercignani, C., ``A class of planar discrete velocity models for gas mixtures'', Jour. Stat. Phys. 99, 967-991 (2000). | MR 1766903 | Zbl 0959.82023

[258] Takata, S., Aoki, K., Cercignani, C., ``The velocity distribution function in an infinitely strongshockwave'', Phys. Fluids12, 2116-2127 (2000). | MR 1772464 | Zbl 1184.76541

[259] Biscari, P., Cercignani, C., Slemrod, M., ``Time-derivatives and frame-invariance beyond Newtonian fluids'', C.R. Acad. Sci. (Paris), IIb (Mcanique), 1-6, 328, (2000). | Zbl 1004.76073

[260] Cercignani, C. and Illner, R., ``Discrete velocity models with general boundary conditions in a slab'', Math. Meth. Appl. Sci. 24, 137-141 (2001). | MR 1810883 | Zbl 0990.76077

[261] Cercignani, C. and Kremer, G.M., ``Moment closure of the relativistic Anderson and Witting model equation'', Physica A 290, 192-202 (2001). | MR 1810262 | Zbl 0971.82516

[262] Cercignani, C., ``Shear flow of a granular material'', Jour. Stat. Phys.102, 1407-1415 (2001). | MR 1830452 | Zbl 0990.82023

[263] Carrillo, J. A., Cercignani, C. and Gamba, I. M., ``Steady states of a Boltzmann equation for driven granular media'', Phys. Rev. E. 62, part A, 7700-7707 (2000). | MR 1807180

[264] Cercignani, C. and Kremer, G.M., ``Dispersion and absorption of plane harmonic waves in a relativistic gas'', Continuum Mech. Thermodyn. 71, 171-182 (2001). | MR 1857127 | Zbl 1100.76560

[265] Cercignani, C. and Cornille, H., ``Large Size Planar Discrete Velocity Models for Gas Mixtures'', Jour. Phys. A (Math. Gen.), 34, 2985-2998 (2001). | MR 1832366 | Zbl 0995.82512

[266] Cornille, H. and Cercignani, C., ``A class of planar discrete velocity models for gas mixtures'' in Proceedings ``WASCOM 99'' 10th Conference on Waves and Stability in Continuous Media V. Ciancio, A. Donato, F. Oliveri, S. Rionero, eds. World Scientific, Singapore (2001). | MR 1867443 | Zbl 0995.82512

[267] Cercignani, C., Illner, R., Stoica, C., ``On Diffusive Equilibria in Generalized Kinetic Theory'', Jour. Stat. Phys.105, 337-352 (2001). | MR 1861207 | Zbl 1051.82021

[268] Takata, S., Aoki, K., Cercignani, C., ``The velocity distribution function in an infinitely strong shock wave''. RGD22, 2116-2127 (2000). | MR 1772464 | Zbl 1184.76541

[269] Bobylev, A. V. and Cercignani, C., ``Moment equations for a granular material in a thermal bath'', Jour. Stat. Phys. 106, 547-567 (2002). | MR 1884544 | Zbl 1001.82092

[270] Bobylev, A. V. and Cercignani, C., ``Exact eternal solutions of the Boltzmann equation'', Jour. Stat. Phys. 106, 1019-1038 (2002). | MR 1889600 | Zbl 1001.82090

[271] Bobylev, A. V. and Cercignani, C., ``Self-similar solutions of the Boltzmann equation and their applications'', Jour. Stat. Phys. 106, 1039-1071 (2002). | MR 1889601 | Zbl 1001.82091

[272] Bobylev, A. V. and Cercignani, C., ``Self-similar solutions of the Boltzmann equation for non-Maxwell molecules'', Jour. Stat. Phys. 108, 713-718 (2002). | MR 1914192 | Zbl 1034.82046

[273] Cercignani, C., ``Il secondo principio della termodinamica e la meccanica statistica'', Nuovi progressi nella fisica matematica dall'eredità di Dario Graffi, Atti dei convegni lincei, 177, 27-32 (2002). | MR 1719677

[274] Stefanov, S., Roussinov, V. and Cercignani, C., ``Rayleigh-Benard Flow of a Rarified Gas and its Attractors. Part 1: Convection regime'', Phys. Fl. 14, 2255-2269 (2002). | MR 1962741 | Zbl 1185.76355

[275] Stefanov, S., Roussinov, V. and Cercignani, C., ``Rayleigh-Benard Flow of a Rarified Gas and its Attractors. Part 2: Chaotic and periodic convective regimes'', Phys. Fl. 14, 2270-2288 (2002). | MR 1962742 | Zbl 1185.76356

[276] Bobylev, A. V. and Cercignani, C., ``The Inverse Laplace Transform of Some Analytic Functions with an Application to the Eternal Solutions of the Boltzmann Equation,'' Appl. Math. Lett. 15, 807-813 (2002). | MR 1920979 | Zbl 1025.44002

[277] Cercignani, C., ``The Boltzmann equation approach to the shear flow of a granular material'' (Discrete modelling and simulation of fluid dynamics, Corse, 2001), R. Soc. Lond. Philos. Trans. Ser. A, Math. Phys. Eng. Sci. 360, no. 1792, 407-414. (2002). | MR 1902781 | Zbl 1001.76092

[278] Bobylev, A. V. and Cercignani, C., ``Self-Similar Asymptotics for the Boltzmann Equation with Inelastic and Elastic Interactions'', Journal of Statistical Physics 110, 333-375 (2003). | MR 1966332 | Zbl 1134.82324

[279] Bobylev, A. V., Cercignani, C., Toscani, G., ``Proof of an asymptotic property of self-similar solutions of the Boltzmann for granular materials'', Journal of Statistical Physics111, 403-416 (2003). | MR 1964277 | Zbl 1119.82318

[280] Cercignani, C., ``Recent results in the kinetic theory of granular materials'', in ``Perspectives and problems in nonlinear science'', E. Kaplan, J. E. Marsden, K. R. Sreenivasan, eds., 217-228, Springer, New York (2003). | MR 1975432 | Zbl 1255.76141

[281] Cercignani, C., ``Discrete velocity models for gas mixtures'' in ``Lecture notes on the discretization of the Boltzmann equation'', N. Bellomo and R. Gatignol, eds., 17-28, World Scientific, Singapore (2003). | MR 1991736

[282] Cercignani, C., Lampis, M., Lorenzani, S., ``Variational Approach to Plane Poiseuille Flow with General Boundary Conditions'', in ``Rarefied Gas Dynamics'', 23rd Int. Symp., A.D. Ketsdever and E.P. Muntz Eds., AIP Conf. Proc. 663, pp. 141-148, New York (2003). | Zbl 1182.76945

[283] Bobylev, A. V. and Cercignani, C., ``Eternal Solutions of the Boltzmann Equation'', in ``Rarefied Gas Dynamics'', A.D. Ketsdever and E.P. Muntz Eds., AIP Conf. Proc. 663, pp. 19-26, New York (2003). | MR 1889600 | Zbl 1081.76049

[284] Stefanov, S., Roussinov, V. and Cercignani, C., ``The Attractors of the Rayleigh-Benard Flow of a Rarefied Gas'', in ``Rarefied Gas Dynamics'', 23rd Int. Symp., A.D. Ketsdever and E.P. Muntz Eds., AIP Conf. Proc. 663, pp. 194-201, New York (2003). | MR 1962741 | Zbl 1062.76563

[285] Cercignani, C., ``Ivan KuÏÏscer and gas-surface interaction'', Transport Theory Statist. Phys.32, 215-226 (2003). | MR 2014716 | Zbl 1029.82009

[286] Bobylev, A. V. and Cercignani, C., ``Self-Similar Asymptotics for the Boltzmann Equation with Inelastic Interactions'', in ``Granular Gas Dynamics'', 119-130, T. Pöschel, N. Brilliantov eds., LNP624, Springer (Berlin, 2003).

[287] Abbà, A., Valdettaro, L. and Cercignani, C., ``Analysis of Subgrid Scale Models'', Computers and Mathematics with applications, vol. 46, n. 4, 521-536 (2003). | MR 2022757 | Zbl 1100.76527

[288] Cercignani, C., Lampis, M. and Lorenzani, S., ``Variational approach to gas flows in microchannels'', Phys. Fl., 14, 3426-3437 (2004). | MR 2082039 | Zbl 1187.76086

[289] Cercignani, C., Lampis, M., Lorenzani, S., ``Plane Poiseuille Flow with Symmetric and Nonsymmetric Gas-Wall Interactions'', Transport Theory Statist. Phys.33, 545-562 (2004). | MR 2141903 | Zbl 1076.82041

[290] Cercignani, C., Lampis, M., Lorenzani, S., ``Plane Poiseuille flow with general boundary conditions: Numerical and variational approach'', Transport Theory and Statistical Physics, Vol. 33, N. 5-7, pp. 545-562 (2004). | MR 2141903 | Zbl 1182.76945

[291] Cercignani, C., ``Global Weak Solution of the Boltzmann Equation'', Journal of Statistical Physics118, 333-342 (2005). | MR 2122558 | Zbl 1097.82022

[292] Cercignani, C., ``From Nice 1958 to Bari 2004: 46 years of RGD Symposia'', in ``Rarefied Gas Dynamics'', 24th Int. Symp., M. Capitelli Ed., AIP Conf. Proc. 762, pp. 3-7, New York (2005).

[293] Stefanov, S., Roussinov, V. and Cercignani, C., ``Three-Dimensional Rayleigh-Benard Convection of a Rarefied Gas: DSMC and Navier-Stokes Calculations'', in ``Rarefied Gas Dynamics'', 24th Int. Symp., M. Capitelli Ed., AIP Conf. Proc. 762, pp. 529-534, New York (2005).

[294] Cercignani, C., Lampis, M., Lorenzani, S., ``Flow of a Rarefied Gas between Parallel and Almost Parallel Plates'', in ``Rarefied Gas Dynamics'', 24th Int. Symp., M. Capitelli Ed., AIP Conf. Proc. 762, pp. 719-724, New York (2005).

[295] Cercignani, C., ``Onsager relations'', in ``Handbook of Condensed Matter'', Elsevier (2005).

[296] Cercignani, C., ``Stochastic processes in physics and chemistry'', in ``Handbook of Condensed Matter'', Elsevier (2005).

[297] Cercignani, C., ``Weak Solutions of the Boltzmann equation without angle cutoff'', Journal of Statistical Physics123, 753-762 (2006). | MR 2255077 | Zbl 1108.82037

[298] Cercignani, C., ``Existence and energy conservation for the Boltzmann Equation'', in Proceedings ``WASCOM 2005'' 13th Conference on Waves and Stability in Continuous Media, 101-109, R. Monaco, G. Mulone, S. Rionero, T. Ruggeri, eds., World Scientific, Singapore (2006). | MR 2231272 | Zbl 1345.76091

[299] Cercignani, C., ``Boltzmanns Vermächtnis'', Physik Journal5, 47-51 (2006).

[300] Cercignani, C., Lampis, M., Lorenzani, S., ``Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects'', Physics of Fluids, 18, pp. 087102-087102 (2006). | MR 2259392 | Zbl 1262.76087

[301] Cercignani, C., ``Ludwig Boltzmann: atomic genius'', Physics World, 19, pp.34-38 (2006). | MR 1700775

[302] Cercignani, C., ``Existence Theory for the Boltzmann equation'', Rendiconti Accademia Nazionale delle Scienze detta dei XL, XXIX, 111-122 (2005). | MR 2305064

[303] Cercignani, C., ``Rigorous Results for Conservation Equations and Trend to Equilibrium in Space-Inhomogeneous Kinetic Theory'', in ``Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems'', C. Cercignani and E. Gabetta, eds., 3-17, Birkhäuser, Boston, (2006). | MR 2334303

[304] Cercignani, C., ``Estimating the Solutions of the Boltzmann equation'', Journal of Statistical Physics124, 1491-1497 (2006). | MR 2266453 | Zbl 1110.82036

[305] Cercignani, C., Frangi, A., Lorenzani, S., Vigna, B., ``BEM approaches and simplified kinetic models for the analysis of damping in deformable MEMS'', Engineering Analysis with Boundary Elements, 31, pp.451-457 (2007). | Zbl 1195.76276

[306] Cercignani, C., ``The Boltzmann equation: mathematics and applications'', Bollettino U.M.I., 10B, 293-315 (2007). | MR 2339443 | Zbl 1178.82042

[307] Cercignani, C., ``Microscopic Foundations of the Mechanics of Gases and Granular Materials'', 63-79, in ``Material Substructures in Complex Bodies'', Elsevier, G. Capriz and P.M. Mariano, eds. (2007).

[308] Cercignani, C., Lampis, M., Lorenzani, S., ``On the Reynolds equation for linearized models of the Boltzmann operator'', Transport Theory Statist. Phys.36, 257-280 (2007). | MR 2357196 | Zbl 1136.82018

[309] Cercignani, C., Frezzotti, A., Gibelli, L., Lorenzani, S., Frangi, A., ``Kinetic approach to gas flows in microchannels'', Nanoscale and Microscale Thermo-Physical Engineering, 211-226, 11, (2007).

[310] Cercignani, C., Lampis, M., Lorenzani, S., ``Mathematical Models and Methods in Micro-Nano Technologies'', in ``Applied and industrial mathematics in Italy II'', 247-258, World Scientific, Singapore, V. Cutello, G. Fotia, L. Puccio, eds., 8th SIMAI Conference (2007). | MR 2367576

[311] Stefanov, S., Roussinov, V. and Cercignani, C., ``Rayleigh-Bnard flow of a rarefied gas and its attractors. III. Three-dimensional computer simulations'', Phys. Fluids 19, 124101 (2007) (13 pages). | MR 1962742 | Zbl 1182.76719

[312] Cercignani, C., Lampis, M. and Lorenzani, S., ``Generalized Reynolds Equation based on the Ellipsoidal Statistical Model'', in ``Rarefied Gas Dynamics'', 1093-1098, Publishing House of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, M.S. Ivanov, A. K. Rebrov, eds. (2007).

[313] Cercignani, C., ``La fisica e la matematica di Eugenio Beltrami'', in ``Un grande matematico dell'Ottocento. Omaggio a Eugenio Beltrami'', LED, Milano (2007). | MR 2367382

[314] Cercignani, C., ``Kinetic approach to the study of MEMS'', Bull. Inst. Math., Academia Sinica, 3, 99-114, 11, (2008). | MR 2398022 | Zbl 1141.82330

[315] Cercignani, C., Frezzotti, A., Lorenzani, S., ``Using the Kinetic Equations for MEMS and NEMS'', in ``Advances in Multiphysics Simulation and Experimental Testing of MEMS'', 37-80, Imperial College Press, London, A. Frangi Et Al., eds. (2008).

[316] Bobylev, A.V., Cercignani, C., Gamba, I.M., ``Generalized Kinetic Maxwell Type Models of Granular Gases'', in ``Mathematical Models of Granular Gases'', 23-58, Elsevier, G. Capriz, P. Giovine and P. M. Mariano, eds., Lecture Notes in Mathematics 1937 (2008). | MR 2436467 | Zbl 1298.76209

[317] Cercignani, C., ``134 years of Boltzmann equation'', in ``Boltzmann's Legacy'', 107-127, G. Gallavotti, W.L. Reiter, J. Yngvason, eds., European Mathematical Society (2008). | MR 2509759 | Zbl 1156.82301

[318] Cercignani, C., ``The Boltzmann equation in the 20th century'', Discrete and Continuous Dynamical Systems, 24, 83-94 (2009). | MR 2476681 | Zbl 1162.82315

[319] Bobylev, A. V., Cercignani, C. and Gamba, I. M., ``On the Self-Similar Asymptotics for Generalized Nonlinear Kinetic Maxwell Models'', Communications in Mathematical Physics, 291 599-644 (2009). | MR 2534787 | Zbl 1192.35126

[320] Cercignani, C., Lorenzani, S., ``Variational derivation of the second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules'', Phys. Fluids, 22: 062004-062004-8, 2010, pubblicato postumo. | Zbl 1190.76022