On solvability of one special problem of coupled thermoelasticity. I. Classical boundary conditions and steady sources
Horák, Jiří V.
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 34 (1995), p. 39-58 / Harvested from Czech Digital Mathematics Library
Publié le : 1995-01-01
Classification:  35D05,  35Q72,  73B30,  73C15,  74K10,  74K20
@article{120331,
     author = {Ji\v r\'\i\ V. Hor\'ak},
     title = {On solvability of one special problem of coupled thermoelasticity. I. Classical boundary conditions and steady sources},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
     volume = {34},
     year = {1995},
     pages = {39-58},
     zbl = {0854.35019},
     mrnumber = {1447253},
     language = {en},
     url = {http://dml.mathdoc.fr/item/120331}
}
Horák, Jiří V. On solvability of one special problem of coupled thermoelasticity. I. Classical boundary conditions and steady sources. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 34 (1995) pp. 39-58. http://gdmltest.u-ga.fr/item/120331/

Boley B. A.; Weiner J. H. Theory of Thermal Stresses, J. Wiley and sons, New York, 1960 | MR 0112414 | Zbl 1234.74001

Dafermos C. M. On the Existence and the Asymptotic Stability of Solution to the Equations of Linear Thermoelasticity, Arch. Rational Mech. Anal., 29 (1968), 241-271. (1968) | MR 0233539

Washizu K. Variational Methods in Elasticity and Plasticity, Pergamon Press, Oxford, 1968. (1968) | MR 0391679 | Zbl 0164.26001

Kovalenko A. D. Fundamentals of thermoelasticity, Izdatelstvo "Naukova dumka", Kiev, 1970 (in Russian). (1970)

Nowacki W. Dynamical problems of thermoelasticity, Izdatelstvo "Mir", Moskva, 1970 (in Russian). (1970)

Aubin J. P. Approximation of Elliptic Boundary - Value Problems, Wiley-Interscience, London, 1972. (1972) | MR 0478662 | Zbl 0248.65063

Carlson D. E. Linear Thermoelasticity, Encyklopedia of Physics, ed. S. Flüge, Volume VIa/2, Mechanics of Solids II. Springer Verlag, Berlin, 1972. (1972)

Lions J. L. Někatoryje metody rešenija nelinejnych krajevych zadač, Izdatelstvo "Mir", Moskva, 1972 (in Russian). (1972)

Adams R. A. Sobolev Spaces, Academic Press, New York, 1975. (1975) | MR 0450957 | Zbl 0314.46030

Michlin S. G. Variational methods in mathematical physics, Alfa, Bratislava, 1975 (in Slovak). (1975)

Truesdell C. A first course in rational mechanics, Izdatelstvo "Mir", Moskva 1975 (in Russian). (1975)

Glowinski R.; Lions J. L. ; Trémolieres R. Analyse numérique des inéquations variationnelles, Dunod, Paris, 1976. (1976)

Kufner A.; John O.; Fučík S. Function Spaces, Academia, Praha, 1977. (1977) | MR 0482102

Michlin S. G. Linějnyje uravněnija v častnych proizvodnych, Moskva, Vyššaja škola, 1977 (in Russian). (1977)

Nowacki W. Coupled fields in mechanics of solids, In: W. T. Koiter: Theoretical and Applied Mechanics, Proceedings of the 14th IUTAM Congress, Delft, The Netherlands, 1976, North-Holland, Amsterdam, 1977. (1976) | MR 0429437

Nowinski J. L. Theory of thermoelasticity with applications, Sijthoff & Noordhoff international Publishers, Aplhen Aan den Tijn, 1978. (1978) | MR 0512892 | Zbl 0379.73004

Aubin J. P. Applied Functional Analysis, J. Wiley and sons, New York, 1979. (1979) | MR 0549483 | Zbl 0424.46001

Day W. A. Justification of the Uncoupled and Quasistatic Approximation in a Problem of Dynamic Thermoelasticity, Arch. Rational Mech. Anal. 77 (1981), 387-396. (1981) | MR 0642554

Day W. A. Further Justification of the Uncoupled and Quasi-Static Approximations in Thermoelasticity, Arch. Rational Mech. Anal. 79 (1982), 85-95. (1982) | MR 0654916 | Zbl 0507.73003

Bock I.; Lovíšek J.; Štangl J. Contact problem for two elastic beams, (in slovak), Strojnický časopis 35 (1984), No 3, 353-373 (in Slovak). (1984)

Ženíšek A. The existence and uniqueness theorem in Biot’s consolidation theory, Aplikace matematiky, 29 (1984), No 3, 194-211. (1984) | MR 0747212 | Zbl 0557.35005

Ženíšek A. Finite element methods for coupled thermoelasticity and coupled consolidation of clay, R. A. I. R. O. Numer. Anal. 18 (1984), 183-205. (1984) | MR 0743885

Day W. A. Heat Conduction Within Linear Thermoelasticity, Springer-Verlag, New York, 1985. (1985) | MR 0804043 | Zbl 0577.73009

Horák J. Evolution variational inequalities in thermoelasticity, MÚ ČSAV, Praha, 1985 (in Czech). (1985)

Horák J. Solution of the problem in linear theory of coupled thermoelasticity, Ph. D. Thesis, Faculty of Natural Sciences, UP Olomouc, 1993 (in Czech). (1993)

Kačur J. Method of Rothe in Evolution Equations, Taubner - Texte zur Mathematik, Band 80, Liepzig, 1985. (1985) | MR 0834176

Rektorys K. Method of dicretization in time and partial differential equations, TKI, SNTL, Praha, 1985 (in Czech). (1985)

Kačur J.; Ženíšek A. Analysis of approximate solution of coupled dynamical thermoelasticity and related problems, Aplikace matematiky 31 (1986), No 3, 190-223. (1986) | MR 0837733

Tauchert T. R. Thermal Stresses in Plates - Dynamical Problems, chapter 1, In: Richard B. Hetnarski, ed.: Thermal Stresses, vol II., North-Holland, Amsterdam, 1986. (1986)