An expression of classical dynamics
Moreau, J.-J.
Annales de l'I.H.P. Analyse non linéaire, Tome S6 (1989), p. 1-48 / Harvested from Numdam
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Publié le : 1989-01-01
@article{AIHPC_1989__S6__1_0,
     author = {Moreau, Jean Jacques},
     title = {An expression of classical dynamics},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {S6},
     year = {1989},
     pages = {1-48},
     mrnumber = {1204008},
     zbl = {0677.73004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_1989__S6__1_0}
}

Moreau, J.-J. An expression of classical dynamics. Annales de l'I.H.P. Analyse non linéaire, Tome S6 (1989) pp. 1-48. http://gdmltest.u-ga.fr/item/AIHPC_1989__S6__1_0/

[1] Bedford, A., Hamilton's principle in continuum mechanics, Research Notes in Math., N° 139, Pitman, Boston, London, Melbourne, 1985. | Zbl 0577.73001

[2] Buttazzo, G. and D. Percivale, On the approximation of the elastic bounce problem on Riemannian manifolds, J. Diff. Equations, 47 (1983), 227-245. | MR 688104 | Zbl 0498.58011

[3] Fremont, M., Contact with adhesion, in: Topics in Nonsmooth Mechanics (Ed. J.J. Moreau, P.D. Panagiotopoulos and G. Strang), Birkhäuser, Basel, 1988. | MR 957090 | Zbl 0669.73079

[4] Giusti, E., Minimal surfaces and functions of bounded variation, Birkhäuser, Boston, Basel, Stuttgart, 1984. | MR 775682 | Zbl 0545.49018

[S] Lichnerowicz, A., Propagateurs et commutateurs en Relativité Générale, Institut des Hautes Etudes Scientifiques, Publications Mathématiques, N° 10, 1961. | Numdam | MR 158726 | Zbl 0098.42607

[6] Lichnerowicz, A., Théorie des rayons en hydrodynamique et magnétohydrodynamique relativistes, Ann. Inst. Henri Poincaré, Sect.A, 7 (1967), 271-302. | Numdam

[7]Marsden, J.E. and T.J.R. Hughes, Mathematical Foundations of Elasticity, Prentice-Hall, Englewood Cliffs, N.J., 1983. | Zbl 0545.73031

[8] Monteiro Marques, M.D.P., Chocs inélastiques standards: un résultat d'existence, Travaux du Séminaire d'Analyse Convexe, Univ. des Sci. et Techniques du Languedoc, vol. 15, exposé n° 4, Montpellier, 1985. | Zbl 0619.73116

[9] Monteiro Marques, M.D.P., Inclusöes Diferenciais e Choques Inelásticos, Doctoral Dissertation, Faculty of Sciences, University of Lisbon, 1988.

[10] Moreau, J.J., Fluid dynamics and the calculus of horizontal variations, Int. J. Engng. Sci., 20 (1982), 389-411. | MR 644052 | Zbl 0479.76080

[11] Moreau, J.J., Le transport d'une mesure vectorielle par un f luide et le théorème de Kelvin-Helmholtz, Rev. Roum. Math. Pures et Appl., 27 (1982), 375-383. | MR 669489 | Zbl 0514.76045

[12] Moreau, J.J., Liaisons unilatérales sans frottement et chocs inélastiques, C.R. Acad.Sci. Paris, Sér.II, 296 (1983), 1473-1476. | MR 721066 | Zbl 0517.70018

[13] Moreau, J.J., Variational properties of stationary inviscid Incompressible flows with possible abrupt inhomogeneity or free surface, I nt. J. Engng. Sci., 23 (1985), 461-481. | MR 789154 | Zbl 0608.76021

[14] Moreau, J.J., Une formulation de la Dynamique Classique, C.R. Acad.Sci. Paris, Sér.II, 304 (1987), 191-194. | MR 977599 | Zbl 0607.70017

[ 15] Moreau, J.J., Free boundaries and non-smooth solutions to some field equations: varlational characterization through the transport method, In: (J. P. ZOLESIO, ed.) Proceedings of the IFIP WG 8.2 Working Conference on Boundary Control and Boundary Variations, Springer-Verlag, 1988. | MR 942456 | Zbl 0664.58003

[16] Mdreau, J.J., Bounded variation in time, In: Topics in Nonsmooth Mechanics (Ed. J.J. Moreau, P.D. Panagiotopoulos and G. Strang), Birkhäuser, Basel, 1988. | MR 957087 | Zbl 0657.28008

[17] Moreau, J.J., Unilateral contact and dry friction in finite freedom dynamics, in: Non-smooth Mechanics and Applications (Ed. J.J. Moreau and P.D. Panaglotopoulos), CISM Courses and Lectures, Springer-Verlag, Wien, 1988. | Zbl 0703.73070

[18] Pandit, S.G. and Deo, S.G., Differential system involving impulses, Lecture Notes in Math., vol.954, Springer-Verlag, Berlin, Heidelberg, New York, 1982. | MR 674119 | Zbl 0539.34001

[19] Percivale, D., Uniqueness in the elastic bounce problem, J. Diff. Equations, 56 (1985), 206-215. | MR 774163 | Zbl 0521.73006

[20] Rham, G. De, Variétés Différentiables, Hermann, Paris, 1955. | Zbl 0065.32401

[21] Schatzman, M., A class of nonlinear differential equations of second order in time, J. Nonlinear Analysis, Theory, Methods and Appl., 2 (1978), 355-373. | MR 512664 | Zbl 0382.34003

[22] Vol'Pert, A.I. and S.I. Hudjaev, Analysis in classes of discontinuous functions and equations of Mathematical Physics, Martinus Nijhoff Pub., Dordrecht, Boston, Lancaster, 1985. | MR 785938 | Zbl 0564.46025