| Title:
|
On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. II (English) |
| Author:
|
Jarušek, Jiří |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
36 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
161-180 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
quasilinear heat equation |
| Keyword:
|
Lamé system |
| Keyword:
|
noncontinuous heating regimes |
| Keyword:
|
Sobolev spaces |
| Keyword:
|
Fourier transformation |
| Keyword:
|
supports |
| Keyword:
|
boundedness and continuity of the stresses with respect to space variables and in time |
| MSC:
|
35B60 |
| MSC:
|
35B65 |
| MSC:
|
35K60 |
| MSC:
|
35M05 |
| MSC:
|
35R05 |
| MSC:
|
73B30 |
| MSC:
|
73U05 |
| MSC:
|
74A15 |
| MSC:
|
74B99 |
| MSC:
|
80A20 |
| idZBL:
|
Zbl 0771.73008 |
| idMR:
|
MR1109122 |
| DOI:
|
10.21136/AM.1991.104457 |
| . |
| Date available:
|
2008-05-20T18:41:32Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104457 |
| . |
| Reference:
|
[1] O. V. Běsov V. P. Iljin S. M. Nikoľskij: Integral Transformations of Functions and Imbedding Theorems.(in Russian). Nauka, Moskva 1975. |
| Reference:
|
[2] P. Grisvard: Elliptic Problems in Nonsmooth Domains.Monographs and Studies in Math. 24, Pitman, Ibston - London - Melbourne 1985. Zbl 0695.35060, MR 0775683 |
| Reference:
|
[3] P. Grisvard: Problèmes aux limites dans les polygones. Mode d'emploi.EDF Bull. Direct. Etud. Rech. Ser. C - Math. Inform. (1986), 21-59. Zbl 0623.35031, MR 0840970 |
| Reference:
|
[4] J. Jarušek: Contact problems with bounded friction. Coercive case.Czech. Math. J. 33 (108) (1983), 237-261. MR 0699024 |
| Reference:
|
[5] J. Jarušek: On the regularity of solutions of a thermoelastic system under noncontinuous heating regime.Apl. Mat. 35 (1990) 6, 426-450. MR 1089924 |
| Reference:
|
[6] V. A. Kondratěv: Elliptic boundary value problems with conical or angular points.(in Russian). Trudy Mosk. Mat. Obšč., Vol. 16 (1967), 209-292. MR 0226187 |
| Reference:
|
[7] A. Kufner A. M. Sändig: Some Applications of Weighted Sobolev Spaces.Teubner-Texte Math. Vol. 100, Teubner V., Leipzig 1987. MR 0926688 |
| Reference:
|
[8] O. A. Ladyženskaya V. A. Solonnikov N. N. Uraltseva: Linear and Quasilinear Equations of Parabolic Type.(in Russian), Nauka, Moskva 1967. |
| Reference:
|
[9] J. L. Lions E. Magenes: Problèrnes aux limites non-homogènes et applications.Dunod, Paris 1968. |
| Reference:
|
[10] 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. MR 0601608 |
| Reference:
|
[11] 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. |
| Reference:
|
[12] A. Visintin: Sur le problème de Stefan avec flux non-linéaire.Preprint No 230, Ist. Anal. Numer, C. N. R. Pavia, Pavia 1981. Zbl 0478.35084, MR 0631569 |
| . |
