Asymptotic dynamics of semilinear thermoelastic Timoshenko systems
This paper investigates a class of semilinear Timoshenko systems with thermal coupling on both the bending moment and the shear force. Under some general assumptions, we conclude the global well-posedness of the system. Then, we establish the existence of a compact global attractor with finite fractal dimension. In particular, under some proper assumptions, our results also allow to reach the uniform exponential stability of solutions.
Authors
- Thales Maier Souza (ORCID: https://orcid.org/0000-0002-2592-9663)
- Rodrigo Nunes Monteiro (ORCID: https://orcid.org/0000-0002-6915-3895)
- Marcio A. Jorge Silva (ORCID: https://orcid.org/0000-0002-4806-886X)
Institutions
- Universidade Estadual de Londrina (BR)
- Universidade Federal de Santa Catarina (BR)
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems - S
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/dcdss.2025031
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00