# On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes

Aplikace matematiky (1990)

- Volume: 35, Issue: 6, page 426-450
- ISSN: 0862-7940

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topJarušek, Jiří. "On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes." Aplikace matematiky 35.6 (1990): 426-450. <http://eudml.org/doc/15644>.

@article{Jarušek1990,

abstract = {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.},

author = {Jarušek, Jiří},

journal = {Aplikace matematiky},

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; temperature shock; quasi-linear thermoelasticity; homogeneous isotropic body; radiation term; stress field; smoothness of the boundary},

language = {eng},

number = {6},

pages = {426-450},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes},

url = {http://eudml.org/doc/15644},

volume = {35},

year = {1990},

}

TY - JOUR

AU - Jarušek, Jiří

TI - On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes

JO - Aplikace matematiky

PY - 1990

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 35

IS - 6

SP - 426

EP - 450

AB - 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.

LA - eng

KW - 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; temperature shock; quasi-linear thermoelasticity; homogeneous isotropic body; radiation term; stress field; smoothness of the boundary

UR - http://eudml.org/doc/15644

ER -

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## Citations in EuDML Documents

top- Jiří Jarušek, On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. II
- Jiří Jarušek, On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. III
- Jiří Jarušek, Regularity and optimal control of quasicoupled and coupled heating processes
- Jiří Jarušek, Dynamic contact problems with given friction for viscoelastic bodies
- Zdeněk Milka, Finite element solution of a stationary heat conduction equation with the radiation boundary condition

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