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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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