非自治随机时滞广义Kuramoto-Sivashinsky方程的拉回随机吸引子  

Pullback Random Attractors for the Non-autonomous Stochastic Delay Generalized Kuramoto-Sivashinsky Equation

作　　者：李勇 张强恒 李扬荣[1] LI Yong;ZHANG Qiang-heng;LI Yang-rong(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南大学学报（自然科学版）》2021年第2期95-102,共8页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11571283).

摘　　要：研究了带有乘法扰动的非自治随机时滞广义Kuramoto-Sivashinsky方程解的长时间行为.通过对解的一致估计证明了该方程在L 2-值连续函数空间上存在拉回随机吸收集和解的预紧性,并且利用拉回随机吸收集和解的预紧性与拉回吸引子的关系证明了拉回吸引子的存在性.In this paper,we study the long-time behavior for the solution of the non-autonomous stochastic delay generalized Kuramoto-Sivashinsky equation with multiplication noise.The existence of apullback random absorbing set and solution pre-compatibility in the space of L 2-valued continuous function is proved by uniform estimation of the solution.The existence of thepullback attractor is proved by using the relationship of the pullback random absorbing set and solution pre-compatibility with the pullback attractor.

关 键 词：时滞广义Kuramoto-Sivashinsky方程 拉回吸引子 乘法噪音 

分 类 号：O193[理学—数学]