Uniform attractor of a non-autonomous Lame thermoelastic system

Yuming Qin; Hongli Wang

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arXiv · 2412.09992

Uniform attractor of a non-autonomous Lame thermoelastic system

Yuming Qin·Hongli Wang

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Abstract

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 $\mathcal{A}_\Sigma$ in the space $H_c$.

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Yuming Qin, Hongli Wang. 2024-12-13. Uniform attractor of a non-autonomous Lame thermoelastic system. https://arxiv.org/abs/2412.09992

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