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<p>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.</p>

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Existence and asymptotic stability of solutions for a nonlinear thermoviscoelastic system with a source term involving a variable exponent

  • 期刊论文

  • 发表日期：

    2025年5月28日

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  • Abdelmalek Khadraoui,
  • Mohamed Dilmi,
  • Mourad Dilmi,
  • Salah Boulaaras,
  • Hamid Benseridi

摘要

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.