Decay estimate and global existence of a semilinear Mindlin-Timoshenko plate system with full frictional damping in the whole space

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2020-03-23 DOI:10.1090/qam/1569

Kaiqiang Li, R. Xue

引用次数: 1

Abstract

In this paper, we are interested in a semilinear Mindlin-Timoshenko system with an irrotationality condition for the angle variables. Under the smallness assumption on the initial data, the decay rate of solutions is obtained by using both the multiplier method in the Fourier space and the fundamental solution method. Moreover, we also prove the global existence of solutions by the standard method.

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具有全摩擦阻尼的半线性Mindlin-Timoshenko板系统的衰变估计及其全局存在性

在本文中，我们感兴趣的是一个具有角度变量无旋条件的双线性Mindlin-Timoshenko系统。在初始数据小的假设下，利用傅立叶空间中的乘法器方法和基本解方法获得了解的衰减率。此外，我们还用标准方法证明了解的全局存在性。

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

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.