Geodesic
On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes
Applications of Mathematics, Tome 35 (1990) no. 6, pp. 426-450.

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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.
DOI : 10.21136/AM.1990.104426
Classification : 35K55, 35M05, 35R05, 73B30, 73U05, 74A15, 74B99, 80A20
Mots-clés : nonlinear heat equation; Lamé system; noncontinuous heating regime; isolated boundary nonsmoothness; boundedness and continuity of the stresses; Sobolev spaces; Fourier transformation; temperature shock; quasi-linear thermoelasticity; homogeneous isotropic body; radiation term; stress field 
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     title = {On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes},
     journal = {Applications of Mathematics},
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Jarušek, Jiří. On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. Applications of Mathematics, Tome 35 (1990) no. 6, pp. 426-450. doi : 10.21136/AM.1990.104426. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1990.104426/

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