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Existence and Energy Decay of the Solutions for a Nonlinear Thermoviscoelastic Model with a Variable Exponent

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In this paper, we deal with a three-dimensional model for thermoviscoelastic system with nonlinear variable exponent sources in a dynamic regime. We prove the exis tence of weak solutions using the Faedo-Galerkin method, and then study the energy decay of the solutions.

Abstract

In this paper, we deal with a three-dimensional model for thermoviscoelastic system with nonlinear variable exponent sources in a dynamic regime. We prove the exis tence of weak solutions using the Faedo-Galerkin method, and then study the energy decay of the solutions.

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