Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.3934/eect.2022027

M. Alahyane, M. Al‐Gharabli, Adel M. Al-Mahdi

引用次数: 0

Abstract

In this paper, we consider a one-dimensional linear Bresse system with only one infinite memory term acting in the third equation (longitudinal displacements). Under a general condition on the memory kernel (relaxation function), we establish a decay estimate of the energy of the system. Our decay result extends and improves some decay rates obtained in the literature such as the one in [27], [4], [33], [58] and [34]. The proof is based on the energy method together with convexity arguments. Numerical simulations are given to illustrate the theoretical decay result.

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具有无限记忆的Bresse系统在纵向位移中的理论和计算衰减结果

在本文中，我们考虑一个一维线性Bresse系统，它的第三个方程(纵向位移)中只有一个无限记忆项。在记忆核(松弛函数)的一般条件下，我们建立了系统能量的衰减估计。我们的衰减结果扩展并改进了文献[27]、[4]、[33]、[58]和[34]中得到的一些衰减率。该证明是基于能量法和凸性论证。数值模拟说明了理论的衰减结果。

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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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.