A dynamic thermoviscoelastic problem: An existence and uniqueness result |
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| Authors: | J.R. Ferná ndez,Kenneth L. Kuttler |
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| Affiliation: | a Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Escola Politécnica Superior, Campus Universitario, 27002 Lugo, Spain
b Department of Mathematics, Brigham Young University, Provo, UT 84602, USA |
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| Abstract: | This work deals with the variational analysis of a dynamic problem which models the temperature evolution in a thermoviscoelastic body. The variational problem is formulated as a coupled system of evolutionary nonlinear variational equations. Then, the existence of a unique weak solution is proved using Banach fixed-point arguments and results on time-dependent families of subgradients. |
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| Keywords: | 74D10 74F05 74H20 74H25 |
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