Exponential stability of the von Kármán system with internal damping

IF 0.8 4区数学 Q2 MATHEMATICS

Georgian Mathematical Journal Pub Date : 2023-08-25 DOI:10.1515/gmj-2023-2063

C. Raposo, Roseane Martins, J. Ribeiro, O. Vera

引用次数: 0

Abstract

Abstract This work deals with a von Kármán system with internal damping. For the solution’s existence, we use nonlinear semigroup theory tools. We construct an evolution system by nonlinear Lipschitz perturbation of a semigroup of contractions. We apply the energy method for the asymptotic behavior, which uses suitable multipliers to construct a Lyapunov functional that leads to exponential decay.

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具有内阻尼的von Kármán系统的指数稳定性

摘要本文研究了一个具有内阻尼的von Kármán系统。对于解的存在性，我们使用非线性半群理论工具。利用压缩半群的非线性Lipschitz摄动构造了一个演化系统。我们将能量方法应用于渐近行为，该方法使用合适的乘法器来构造导致指数衰减的李亚普诺夫函数。

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

Georgian Mathematical Journal 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Georgian Mathematical Journal was founded by the Georgian National Academy of Sciences and A. Razmadze Mathematical Institute, and is jointly produced with De Gruyter. The concern of this international journal is the publication of research articles of best scientific standard in pure and applied mathematics. Special emphasis is put on the presentation of results obtained by Georgian mathematicians.