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 Thermoelastic Timoshenko System of Type I with a Memory Term

作　　者：秦玉明[1] 杜雅纯 QIN Yuming;DU Yachun(College of Science,Donghua University,Shanghai 201620,China)

机构地区：[1]东华大学理学院,上海201620

出　　处：《应用数学》2020年第3期579-597,共19页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11671075)。

摘　　要：本文研究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.首先利用半群理论,获得了解的整体存在性.其次研究解的渐近行为.最后利用一致压缩函数法证明一致吸引子的存在性.In this article,we consider a non-autonomous Timoshenko system of thermoelasticity of type I with memory type.We first 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 

分 类 号：O29[理学—应用数学]