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Title: On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes (English)
Author: Jarušek, Jiří
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 35
Issue: 6
Year: 1990
Pages: 426-450
Summary lang: Czech
Summary lang: English
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Category: math
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Summary: 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. (English)
Keyword: nonlinear heat equation
Keyword: Lamé system
Keyword: noncontinuous heating regime
Keyword: isolated boundary nonsmoothness
Keyword: boundedness and continuity of the stresses
Keyword: Sobolev spaces
Keyword: Fourier transformation
Keyword: temperature shock
Keyword: quasi-linear thermoelasticity
Keyword: homogeneous isotropic body
Keyword: radiation term
Keyword: stress field
MSC: 35K55
MSC: 35M05
MSC: 35R05
MSC: 73B30
MSC: 73U05
MSC: 74A15
MSC: 74B99
MSC: 80A20
idZBL: Zbl 0754.73021
idMR: MR1089924
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Date available: 2008-05-20T18:40:11Z
Last updated: 2015-06-01
Stable URL: http://hdl.handle.net/10338.dmlcz/104426
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Related article: http://dml.cz/handle/10338.dmlcz/104457
Related article: http://dml.cz/handle/10338.dmlcz/104510
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Reference: [16] 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. MR 0775859
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