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
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)