无等波速假设的部分阻尼Timoshenko-Ehrenfest系统的全局吸引子

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED Asymptotic Analysis Pub Date : 2023-10-06 DOI:10.3233/asy-231843

M.M. Freitas, D.S. Almeida Júnior, L.G.R. Miranda, A.J.A. Ramos, R.Q. Caljaro

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引用次数: 0

摘要

本文研究了一类新的半线性Timoshenko-Ehrenfest型系统的全局吸引子。首先利用Faedo-Galerkin方法建立了系统的适定性。利用最近的拟稳定性理论，只考虑作用于垂直位移的一个阻尼项，证明了光滑有限维全局吸引子的存在性。我们的结果对系统的任何参数都成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global attractors for a partially damped Timoshenko–Ehrenfest system without the hypothesis of equal wave speeds

This paper is concerned with the study of global attractors for a new semilinear Timoshenko–Ehrenfest type system. Firstly we establish the well-posedness of the system using Faedo–Galerkin method. By considering only one damping term acting on the vertical displacement, we prove the existence of a smooth finite dimensional global attractor using the recent quasi-stability theory. Our results holds for any parameters of the system.

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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.