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

Jiří Jarušek

Applications of Mathematics (1992)

  • Volume: 37, Issue: 4, page 275-288
  • ISSN: 0862-7940

Abstract

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In this part we weaken the sufficient condition to obtain the stresses continuous and bounded in the threedimensional case, and we treat a certain coupled system.

How to cite

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Jarušek, Jiří. "On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. III." Applications of Mathematics 37.4 (1992): 275-288. <http://eudml.org/doc/15716>.

@article{Jarušek1992,
abstract = {In this part we weaken the sufficient condition to obtain the stresses continuous and bounded in the threedimensional case, and we treat a certain coupled system.},
author = {Jarušek, Jiří},
journal = {Applications of Mathematics},
keywords = {spatial isotropy and anisotropy; heat equation; Lamé system; viscoelasticity; three-dimensional case; coupled system; spatial isotropy and anisotropy; heat equation; Lamé system; viscoelasticity; three-dimensional case; coupled system},
language = {eng},
number = {4},
pages = {275-288},
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. III},
url = {http://eudml.org/doc/15716},
volume = {37},
year = {1992},
}

TY - JOUR
AU - Jarušek, Jiří
TI - On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. III
JO - Applications of Mathematics
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 4
SP - 275
EP - 288
AB - In this part we weaken the sufficient condition to obtain the stresses continuous and bounded in the threedimensional case, and we treat a certain coupled system.
LA - eng
KW - spatial isotropy and anisotropy; heat equation; Lamé system; viscoelasticity; three-dimensional case; coupled system; spatial isotropy and anisotropy; heat equation; Lamé system; viscoelasticity; three-dimensional case; coupled system
UR - http://eudml.org/doc/15716
ER -

References

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  1. J. Jarušek, On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes, ApI. Mat. 35 (1990), 426-450. (1990) MR1089924
  2. J. Jarušek, On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. Part II, Appl. Math. 36(1991), 161-180. (1991) MR1109122
  3. J. Lions E. Magenes, Problèmes aux limites non-homogènes et applications, Dunod, Paris, 1968. (1968) 
  4. J. Nečas, Dynamics of thermoelastic systems with strong viscosity, Proc. conf. part. diff. eq. Holzhau (GDR) 1988 (B. W. Schulze, ed.), Teubner Texte Math. Vol. 112, Leipzig, 1989. (1988) 
  5. J. Nečas J. Jarušek J. Haslinger, On the solution of the variational inequality to the Signorini problem with small friction, Bol. Un. Mat. Ital. (5) 17-B (1980), 796-811. (1980) MR0580559
  6. J. Nečas A. Novotný V. Šverák, 10.1002/mana.19901490124, Math. Nachr. 149 (1990), 319-324. (1990) MR1124813DOI10.1002/mana.19901490124
  7. J. Sprekels, Global solution in onedimensional magneto-thermoviscoelasticity, preprint, Univ. GH. Essen. 

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