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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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| _version_ | 1866917867907186688 |
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| author | Qin, Yuming Wang, Hongli |
| author_facet | Qin, Yuming Wang, Hongli |
| 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 $H_c$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09992 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniform attractor of a non-autonomous Lame thermoelastic system Qin, Yuming Wang, Hongli Analysis of PDEs 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 $H_c$. |
| title | Uniform attractor of a non-autonomous Lame thermoelastic system |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2412.09992 |