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

Applications of Mathematics (1991)

- Volume: 36, Issue: 3, page 161-180
- ISSN: 0862-7940

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topJarušek, Jiří. "On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. II." Applications of Mathematics 36.3 (1991): 161-180. <http://eudml.org/doc/15671>.

@article{Jarušek1991,

abstract = {A quasilinear noncoupled thermoelastic system is studied both on a threedimensional bounded domain with a smooth boundary and for a generalized model involving the influence of supports. Sufficient conditions are derived under which the stresses are bounded and continuous on the closure of the domain.},

author = {Jarušek, Jiří},

journal = {Applications of Mathematics},

keywords = {quasilinear heat equation; Lamé system; noncontinuous heating regimes; Sobolev spaces; Fourier transformation; supports; boundedness and continuity of the stresses with respect to space variables and in time; quasilinear heat equation; Lamé system; Sobolev spaces; Fourier transformation; boundedness and continuity of the stresses; supports},

language = {eng},

number = {3},

pages = {161-180},

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. II},

url = {http://eudml.org/doc/15671},

volume = {36},

year = {1991},

}

TY - JOUR

AU - Jarušek, Jiří

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

JO - Applications of Mathematics

PY - 1991

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

VL - 36

IS - 3

SP - 161

EP - 180

AB - A quasilinear noncoupled thermoelastic system is studied both on a threedimensional bounded domain with a smooth boundary and for a generalized model involving the influence of supports. Sufficient conditions are derived under which the stresses are bounded and continuous on the closure of the domain.

LA - eng

KW - quasilinear heat equation; Lamé system; noncontinuous heating regimes; Sobolev spaces; Fourier transformation; supports; boundedness and continuity of the stresses with respect to space variables and in time; quasilinear heat equation; Lamé system; Sobolev spaces; Fourier transformation; boundedness and continuity of the stresses; supports

UR - http://eudml.org/doc/15671

ER -

## References

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- O. A. Ladyženskaya V. A. Solonnikov N. N. Uraltseva, Linear and Quasilinear Equations of Parabolic Type, (in Russian), Nauka, Moskva 1967. (1967)
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- V. G. Maz'ja B. A. Plameněvskij, On the coefficients in asymptotics of solutions of elliptic boundary value problems in domains having conical points, (in Russian), Math. Nachr.76 (1977), 29-60. (1977) MR0601608
- A. M. Sänding U. Richter R. Sänding, The regularity of boundary value problems for the Lamé equation in polygonal domain, Rostock Math. Kolloq. 36 (1989), 21 - 50. (1989)
- A. Visintin, Sur le problème de Stefan avec flux non-linéaire, Preprint No 230, Ist. Anal. Numer, C. N. R. Pavia, Pavia 1981. (1981) Zbl0478.35084MR0631569

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