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.
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
Keywords: 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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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

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