从具有无限记忆和可变指数型非线性阻尼的第二频率谱看季莫申科系统的新衰减结果

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-24 DOI:10.3233/asy-231892

A. Al‐Mahdi

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引用次数: 0

摘要

在本研究中，我们考虑了一个在第二频谱背景下具有两个阻尼项的一维季莫申科系统。一个阻尼是具有无限记忆的粘弹性阻尼，另一个是可变指数型非线性摩擦阻尼。这些阻尼项同时并互补地作用于域中的剪切力。据我们所知，我们首次为这个具有无限记忆的系统建立了明确而通用的能量衰减率。我们使用索波列夫嵌入和乘法器方法来获得衰减结果。这些结果概括并改进了早期文献中的一些相关结果。

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New decay results for Timoshenko system in the light of the second spectrum of frequency with infinite memory and nonlinear damping of variable exponent type

In this study, we consider a one-dimensional Timoshenko system with two damping terms in the context of the second frequency spectrum. One damping is viscoelastic with infinite memory, while the other is a non-linear frictional damping of variable exponent type. These damping terms are simultaneously and complementary acting on the shear force in the domain. We establish, for the first time to the best of our knowledge, explicit and general energy decay rates for this system with infinite memory. We use Sobolev embedding and the multiplier approach to get our decay results. These results generalize and improve some earlier related results in the literature.

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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.