具有粘性阻尼的动态von Karman方程

Q3 Mathematics

Mathematical Modeling and Computing Pub Date : 2023-01-01 DOI:10.23939/mmc2023.03.816

B. El-Aqqad, J. Oudaani, A. El Mouatasim

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引用次数: 0

摘要

在本文中，我们感兴趣的是耦合粘性阻尼和无旋转力(α=0)的动态von Karman方程[Chueshov I.， Lasiecka I.(2010)]，该问题描述了垂直位移的小非线性振动对弹性板的屈曲和柔性现象。我们的基本目标是在假设F0∈H3+ ε (ω)下，建立所谓全局能量弱解的存在性和唯一性。最后，为了说明我们的理论结果，我们使用了有限差分法。

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Dynamic von Karman equations with viscous damping

In this paper we are interested to the dynamic von Karman equations coupled with viscous damping and without rotational forces, (α=0) [Chueshov I., Lasiecka I. (2010)], this problem describes the buckling and flexible phenomenon of small nonlinear vibration of vertical displacement to the elastic plates. Our fundamental goal is to establish the existence and the uniqueness to the weak solution for the so-called global energy, under assumption F0∈H3+ϵ(ω). Finally for illustrate our theoretical results we use the finite difference method.

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来源期刊

Mathematical Modeling and Computing Computer Science-Computational Theory and Mathematics

CiteScore

1.60

自引率

0.00%

发文量