On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes
Jarušek, Jiří
Applications of Mathematics, Tome 35 (1990), p. 426-450 / Harvested from Czech Digital Mathematics Library
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The continuity and boundedness of the stress to the solution of the thermoelastic system is studied first for the linear case on a strip and then for the twodimensional model involving nonlinearities, noncontinuous heating regimes and isolated boundary nonsmoothnesses of the heated body.

Publié le : 1990-01-01
Classification:  35K55,  35M05,  35R05,  73B30,  73U05,  74A15,  74B99,  80A20 
@article{104426,
     author = {Ji\v r\'\i\ Jaru\v sek},
     title = {On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes},
     journal = {Applications of Mathematics},
     volume = {35},
     year = {1990},
     pages = {426-450},
     zbl = {0754.73021},
     mrnumber = {1089924},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104426}
}

Jarušek, Jiří. On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. Applications of Mathematics, Tome 35 (1990) pp. 426-450. http://gdmltest.u-ga.fr/item/104426/

S. Agmon A. Douglis L. Nirenberg Estimates near boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. Part II, Comm. Pure Appl. Math. 17 (1964) 35-92. (1964) | Article | MR 0162050

O. V. Běsov V. P. Lljin S. M. Nikolskij Integral Transformations of Functions and Imbedding Theorems, (in Russian). Nauka, Moskva 1975. (1975)

P. Grisvard Elliptic Problems in Nonsmooth Domains, Monographs and Studies in Math. 24, Pitman, Boston-London-Melbourne 1985. (1985) | MR 0775683 | Zbl 0695.35060

P. Grisvard Problemes aux limites dans les polygones, Mode d'emploi, EDF Bull. Direct. Etud. Rech. Ser. C. Math. Inform. (1986) 1, 21 - 59. (1986) | MR 0840970 | Zbl 0623.35031

J. Jarušek Contact problems with bounded friction. Coercive case, Czech. Math. J. 33 (108) (1983), 237-261. (1983) | MR 0699024

J. Jarušek Remark to the generalized gradient method for the optimal large-scale heating problem, Probl. Control Inform. Theory 16 (1987) 2, 89-99. (1987) | MR 0907452

J. Jarušek Optimal control of thermoelastic processes III, (in Czech). Techn. rep. Inst. Inform. Th. Autom. No. 1561, Praha 1988. (1988)

V. A. Kondratěv Elliptic boundary value problems with conical or angular points, (in Russian). Trudy Mosk. Mat. Obšč., Vol. 16 (1967), 209-292. (1967) | MR 0226187

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

A. Kufner A. M. Sändig Some Applications of Weighted Sobolev Spaces, Teubner-Texte Math., Band 100, Teubner V., Leipzig 1987. (1987) | MR 0926688

O. A. Ladyženskaja V. A. Solonnikov N. N. Uralceva Linear and Quasilinear Equations of Parabolic Type, (in Russian). Nauka, Moskva 1967. (1967) | MR 0241822

J. L. Lions E. Magenes Problèmes aux limites non-homogènes et applications, Dunod, Paris 1968. (1968)

J. Nečas Solution of the biharmonic problem for an infinite angle, (in Czech). Časopis pěst. mat. 83 (1958), Part I, 257-286, Part. II, 399-424. (1958)

J. Nečas Les méthodes directes en théorie des équations elliptiques, Academia, Praha 1967. (1967) | MR 0227584

J. Nečas Introduction to the Theory of Nonlinear Elliptic Equations, Teubner-Texte Math., Band 52, Teubner V., Leipzig 1983. (1983) | MR 0731261

R. H. Nochetto Error estimates for two-phases Stefan problem in several space variables. Part II: Nonlinear flux conditions, Preprint No. 416, 1st. Anal. Numer, CNR. Pavia, Pavia 1984. (1984) | MR 0775859

A. M. Sändig U. Richter R. Sändig The regularity of boundary value problems for the Lame equations in polygonal domain, Rostock. Math. Kolloq. 36 (1989), 21-50. (1989) | MR 1006837

A. Visintin Sur le problème de Stefan avec flux non-lineaire, Preprint No. 230, Ist. Anal. Numer. C. N. R. Pavia, Pavia 1981. (1981) | MR 0631569 | Zbl 0478.35084