Bibliographic Details
| 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 |