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带有记忆项的非自治第一类型热弹性Timoshenko系统解的整体存在性、渐近性及其一致吸引子

秦玉明 杜雅纯

应用数学2020,Vol.33Issue(3):579-597,19.
应用数学2020,Vol.33Issue(3):579-597,19.

带有记忆项的非自治第一类型热弹性Timoshenko系统解的整体存在性、渐近性及其一致吸引子

Global Existence, Asymptotic Behavior and Uniform Attractor for a Non-Autonomous Thermo elastic Timoshenko System of Type Ⅰ with a Memory Term

秦玉明 1杜雅纯1

作者信息

  • 1. 东华大学理学院,上海 201620
  • 折叠

摘要

Abstract

In this article, we consider a non-autonomous Timoshenko system of ther-moelasticity of type Ⅰ with memory type. Wefirst establish the global existence of solutions using the semi-group theory. And then we obtain asymptotic behavior of the solution. Last, we prove the existence of a uniform attractor by using the method of uniform contractive functions.

关键词

Timoshenko系统/解的整体存在性/渐近性/一致吸引子/半群理论

Key words

Timoshenko system/Global existence/Asymptotic behavior/Uniform attractor/Semigroup method

分类

数理科学

引用本文复制引用

秦玉明,杜雅纯..带有记忆项的非自治第一类型热弹性Timoshenko系统解的整体存在性、渐近性及其一致吸引子[J].应用数学,2020,33(3):579-597,19.

基金项目

Supported by the National Natural Science Foundation of China(11671075)) (11671075)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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