Publication at Faculty of Mathematics and Physics |
2009
Abstract
Existence of a very weak solution to the d-dimensional thermo-viscoelasticity system for Kelvin-Voigt-type material at small strains involving ( possibly nonlinear) monotone viscosity of a p-Laplacian type and temperature-dependent heat capacity of an (omega-1)-polynomial growth is proved by a successive passage to a limit in a suitably regularized Galerkin approximation and sophisticated a priori estimates for the temperature gradient performed for the coupled system. A global solution for arbitrarily large data having an L1-structure is obtained under the conditions p}=2, omega}=1, and p}1 d/(2omega).