无界区域非自治Brinkman-Forchheimer方程的拉回吸引子  

Pullback attractors for non-autonomous Brinkman-Forchheimer equation on unbounded domains

作　　者：肖佳赟 高平[1] XIAO Jia-yun GAO Ping(School of Mathematics and Information Sciences, Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2017年第2期41-46,共6页Journal of Guangzhou University:Natural Science Edition

摘　　要：文章主要讨论无界条件下非自治Brinkman-Forchheimer方程拉回吸引子的存在性.运用解的一致估计得到ф的D-吸收集的存在性,并用截断函数技巧,证明ф的渐近紧性,从而通过此类紧性证明方程拉回吸引子的存在性.In this paper,we study the existence of a pullback attractors for non-autonomous Brinkman-Forchheimer equation. The existence of the D- absorbing set is obtained by using the uniform estimates of the solution, and the asymptotic compactness is proved by using the truncated function technique. Then pullback attractors is proved by this kind of compactness.

关 键 词：拉回吸引子 D-拉回渐近紧 非自治Brinkman-Forchheimer方程 

分 类 号：O193[理学—数学]