Existence and Uniqueness in a Theory of Thermoviscoelastic Dielectrics

G. Foutsitzi Department of Material Science and Technology, University of Ioannina, Ioannina, GR-45110, Greece

V.K. Kalpakides Department of Mathematics, Division of Applied Mathematics and Mechanics, University of Ioannina, Ioannina, GR-45110, Greece

C.V. Massalas Department of Material Science and Technology, University of Ioannina, Ioannina, GR-45110, Greece

This work deals with the study of an initial-boundary value problem in linear theory of thermo-viscoelastic dielectrics. A variational formulation of this problem is provided and the existence of its solution is proved by an auxiliary Faedo-Galerkin scheme. Finally, the uniqueness of the solution is obtained as a corollary of the existence proof.

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Existence and Uniqueness in a Theory of Thermoviscoelastic Dielectrics

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