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一类非自治Brinkman-Forchheimer系统的拉回$mathcal{D}$-吸引子
引用本文:宋雪丽. 一类非自治Brinkman-Forchheimer系统的拉回$mathcal{D}$-吸引子[J]. 数学研究及应用, 2013, 33(1): 90-100
作者姓名:宋雪丽
作者单位:西安科技大学理学院, 陕西 西安 710054
基金项目:西安科技大学博士启动基金项目(Grant No.2012QDJ040),西安科技大学培育基金项目(Grant No.201238).
摘    要:The asymptotic behavior of solutions of the three-dimensional nonautonomous Brinkman-Forchheimer equation is investigated. And the existence of pullback global attractors in L2 (Ω) and H01(Ω) is proved, respectively.

关 键 词:pullback attractor  asymptotic compactness  Brinkman-Forchheimer equation.
收稿时间:2011-05-04
修稿时间:2011-12-20

Pullback ${cal D}$-Attractors for A Non-Autonomous Brinkman-Forchheimer System
Xueli SONG. Pullback ${cal D}$-Attractors for A Non-Autonomous Brinkman-Forchheimer System[J]. Journal of Mathematical Research with Applications, 2013, 33(1): 90-100
Authors:Xueli SONG
Affiliation:College of Science, Xi'an University of Science and Technology, Shaanxi 710054, P. R. China
Abstract:The asymptotic behavior of solutions of the three-dimensional nonautonomous Brinkman-Forchheimer equation is investigated. And the existence of pullback global attractors in $mathbb{L}^2(Omega)$ and $mathbb{H}_0^1(Omega)$ is proved, respectively.
Keywords:pullback attractor   asymptotic compactness   Brinkman-Forchheimer equation.
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