Global Regular Solutions to a Kelvin--Voigt Type Thermoviscoelastic System
A classical three-dimensional thermoviscoelastic system of Kelvin--Voigt type is considered. The existence and uniqueness of a global regular solution is proved without small data assumption. The existence proof is based on the successive approximation method. The crucial part constitutes a priori e...
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| Veröffentlicht in: | SIAM journal on mathematical analysis 2013-01, Vol.45 (4), p.1997-2045 |
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| container_end_page | 2045 |
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| container_issue | 4 |
| container_start_page | 1997 |
| container_title | SIAM journal on mathematical analysis |
| container_volume | 45 |
| creator | Pawlow, Irena Zajaczkowski, Wojciech M |
| description | A classical three-dimensional thermoviscoelastic system of Kelvin--Voigt type is considered. The existence and uniqueness of a global regular solution is proved without small data assumption. The existence proof is based on the successive approximation method. The crucial part constitutes a priori estimates on an arbitrary finite time interval, which are derived with the help of the theory of anisotropic Sobolev spaces with a mixed norm. [PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1137/110859026 |
| format | Article |
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| identifier | ISSN: 0036-1410 |
| ispartof | SIAM journal on mathematical analysis, 2013-01, Vol.45 (4), p.1997-2045 |
| issn | 0036-1410 1095-7154 |
| language | eng |
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| source | LOCUS - SIAM's Online Journal Archive |
| subjects | Applied mathematics Approximation Boundary conditions Conventions Cybernetics Estimates Heat conductivity Intervals Mathematical analysis Norms Phase transitions Sobolev space Three dimensional Uniqueness Viscosity |
| title | Global Regular Solutions to a Kelvin--Voigt Type Thermoviscoelastic System |
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