非自治的Kuramoto-Sivashinsky方程的拉回吸引子的后项紧性  

Backward Compactness of Pullback Attractors for the Non-Autonomous Kuramoto-Sivashinsky Equation

作　　者：范红瑞 王仁海[1] 李扬荣[1] 佘连兵[2] FAN Hong-rui1 , WANG Ren-hai1, LI Yang-rong1 , SHE Lian-bin2(1. School of mathematics and Statistics, Southwest University, Chongqing 400715 , China; 2. Department of Mathematics, Liupanshui Normal College, Liupanshui Guizhou 553004, Chin)

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]六盘水师范学院数学系,贵州六盘水553004

出　　处：《西南大学学报（自然科学版）》2018年第3期95-100,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金项目(11571283);贵州省教育厅自然科学基金项目(KY[2016]103)

摘　　要：本文运用一个关于后项紧的拉回吸引子的存在性定理,证明了非自治的Kuramoto-Sivashinsky方程在外力项是后项λ-缓增有限的假设条件下存在一个唯一的后项紧的拉回吸引子.后项一致Gronwa引理是证明相应系统的后项渐进紧性的关键.Under the light of a theory for the existence of backward compact pullback attractors,it is shown that the non-autonomous Kuramoto-Sivashinsky equation has a backward compact pullback attractor under an assumption ofλ-tempered finiteness for the force.A backward uniform Gronwall lemma is essential for proving the backward asymptotical compactness of corresponding systems.

关 键 词：非自治的Kuramoto-Sivashinsky方程 拉回吸引子 后项紧性 非自治动力系统 后项一致Gronwa引理 

分 类 号：O211.4[理学—概率论与数理统计]