Abdelmalek Khadraoui, Mohamed Dilmi, Mourad Dilmi, Salah Boulaaras, Hamid Benseridi
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Existence and asymptotic stability of solutions for a nonlinear thermoviscoelastic system with a source term involving a variable exponent
In this paper, we investigate the asymptotic stability of solutions for a thermoviscoelastic system with a nonlinear variable exponent source term and a damping term. Using the Faedo-Galerkin method, we establish the existence of solutions. Then, applying the perturbed energy method, we demonstrate a general rate of energy decay.
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