二维Mindlin-Timoshenko系统的非线性阻尼效应

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2024-09-19 DOI:10.1007/s40065-024-00473-0

Ahmed Bchatnia, Sabrine Chebbi, Makram Hamouda

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引用次数: 0

摘要

本文研究了旋转角方程非线性耗散影响下Mindlin-Timoshenko系统的渐近行为。首先，我们提供了系统解决方案存在性的简明回顾。随后，我们证明了与Mindlin-Timoshenko设置解相关的能量遵循耗散。此外，在等波速条件下，我们建立了能量的综合衰减定理，为其一般行为提供了明确的见解。

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Nonlinear damping effects for the 2D Mindlin–Timoshenko system

In this article, we investigate the asymptotic behavior of the Mindlin–Timoshenko system under the influence of nonlinear dissipation affecting the rotation angle equations. Initially, we provide a concise review of the system’s solution existence. Subsequently, we demonstrate that the energy associated with the solution of the Mindlin–Timoshenko setup follows a dissipation. Furthermore, under the condition of equal wave speeds, we establish a comprehensive decay theorem for the energy, offering explicit insights into its general behavior.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.