摘要
引入了半一致吸引子的概念,建立了一个半一致吸引子存在性定理.尽管它不具有不变性,但它能诱导出一个半一致紧的拉回吸引子.此外,在适当的假设下,证明了非自治Kuramoto-Sivashinsky方程有一个半一致吸引子和一个半一致紧的拉回吸引子.
We introduce a concept of a semi-uniform attractor for an evolution process.A theorem for existence result of semi-uniform attractor are given in this paper.Although the invariance is not involved,but it can induce a semi-uniformly compact pullback attractor.Moreover,under some suitable assumptions,we show that the non-autonomous Kuramoto-Sivashinsky equation has a semi-uniform attractor and a semi-uniformly compact pullback attractor.
作者
佘连兵
张文林
李扬荣
SHE Lian-bing;ZHANG Wen-lin;LI Yang-rong(School of Mathematics and Information Engineering,Liupanshui Normal University,Liupanshui 553004,China;School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2019年第5期884-890,共7页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金(11571283)
贵州省教育厅自然科学基金(KY[2017]260,[2018]387)
六盘水师范学院校级基金(LPSSYKYJJ201801,LPSSYZDPYXK201709)
