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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.09992 |
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Table of Contents:
- In this paper, we investigate the dynamical behavior of non-autonomous Lame thermoelastic systems within $N$-dimensional materials. With appropriate constraints on nonlinear characteristics and functional parameters, we initially establish the existence of a uniformly absorbing set by constructing a Lyapunov function. Subsequently, we employ the contraction mapping principle to demonstrate the uniformly asymptotic compactness of the system. Finally, under irrotational conditions, we prove the existence of a uniform attractor $\mathcal{A}_Σ$ in the space $H_c$.