一类具记忆项拟线性波动方程的整体吸引子  

Global Attractor for a Quasilinear Wave Equation with Memory

作　　者：张素丽[1] 张建文 王海燕 ZHANG Suli;ZHANG Jianwen;WANG Haiyan(College of Mechanical and Vehicle Engineering,Taiyuan University of Technology,Taiyuan 030024,China;College of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China;College of Applied Sciences,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]太原理工大学机械与运载学院,山西太原030024 [2]太原理工大学数学学院,山西太原030024 [3]太原科技大学应用科学学院,山西太原030024

出　　处：《应用数学》2020年第4期894-904,共11页Mathematica Applicata

基　　金：国家自然科学基金(11872264)。

摘　　要：本文研究具有记忆项的拟线性波动方程.利用Faedo-Galerkin方法证明整体弱解的存在唯一性;其次,利用一个稳定性不等式证明整体吸引子的存在性.This paper studies a quasilinear wave equation with memory.Existence and uniqueness of the global weak solution are proved by the Faedo-Galerkin method.Then,the existence of a global attractor is obtained by applying the stability inequality.

关 键 词：波动方程 记忆项 整体吸引子 

分 类 号：O175.29[理学—数学]