一维线性热弹系统的整体解存在性、渐近性和一致吸引子（英文）  

Global Existence,Asymptotic Behavior and Uniform Attractor for a One-Dimensional Linear Thermoelastic System

作　　者：秦玉明[1] 王鹏达[1] 陈艳芳[1] 

机构地区：[1]东华大学理学院,上海201620

出　　处：《河南大学学报（自然科学版）》2015年第5期505-514,共10页Journal of Henan University:Natural Science

基　　金：The National Natural Scince Foundafion of China(11271066,110310031);College of Science of Donghua University(109-03-002102);Shanghai Education Commission with Contract(13zz048)

摘　　要：考虑了一维线性热弹系统.这个系统包含了一个波方程和一个热方程.通过运用半群方法和多乘子方法,建立了解的整体存在性和渐近性,并通过一致压缩函数的方法进一步证明了一个非自治热弹系统一致吸引子的存在性.In this paper, we consider a linea to a heat equation. We establish the global method and multiplicative techniques, th autonomous thermoelastie system by using r thermoelastic system. This system consists of a wave equation coupled existence and asymptotic behavior of solutions by using the semigroup en further prove the existence of the uniform attractor for a nonthe method of uniform contractive functions.

关 键 词：热弹系统 整体存在性 渐近性 一致吸引子 半群方法 

分 类 号：O175.29[理学—数学]