Academic Journal
Existence and energy decay of the solutions for a nonlinear thermoviscoelastic model with a variable exponent
| Title: | Existence and energy decay of the solutions for a nonlinear thermoviscoelastic model with a variable exponent |
|---|---|
| Authors: | Dilmi, Mohamed, Benallia, Mohamed |
| Publisher Information: | Kyungpook National University, Department of Mathematics, Taegu |
| Subject Terms: | nonlinear variable exponent sources, variable exponent Lebesgue and Sobolev spaces, Initial-boundary value problems for systems of nonlinear higher-order PDEs, Faedo-Galerkin method, PDEs in connection with mechanics of deformable solids, energy decay, Stability in context of PDEs |
| Description: | Summary: 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 existence of weak solutions using the Faedo-Galerkin method, and then study the energy decay of the solutions. |
| Document Type: | Article |
| File Description: | application/xml |
| DOI: | 10.5666/kmj.2025.65.1.87 |
| Access URL: | https://zbmath.org/8029067 |
| Accession Number: | edsair.c2b0b933574d..215544eede2cc3952bc9a8c39dab5948 |
| Database: | OpenAIRE |
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