Uniform Attractors for a Non-Autonomous Brinkman-Forchheimer Equation

被引：0
|
作者：
Xue Li SONG 1
2.College of Science
机构：
来源：
数学研究及应用 | 2012年 / 32卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Galerkin approximation; uniform attractor; non-autonomous Brinkman-Forchheimer equation;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
This paper is concerned with the three-dimensional non-autonomous BrinkmanForchheimer equation.By Galerkin approximation method,we give the existence and uniqueness of weak solutions for non-autonomous Brinkman-Forchheimer equation.And we investigate the asymptotic behavior of the weak solution,the existence and structures of the（H,H）-uniform attractor and（H,V）-uniform attractor.Then we prove that an L 2-uniform attractor is actually an H 1-uniform attractor.
引用
下载
收藏
页码：63 / 75
页数：13
相关论文
共 50 条
  • [31] Uniform random attractors for a non-autonomous stochastic strongly damped wave equation on RN
    Li, Yanjiao
    Li, Bowen
    Li, Xiaojun
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (03):
  • [32] ON UNIFORM ATTRACTORS FOR NON-AUTONOMOUS p-LAPLACIAN EQUATION WITH A DYNAMIC BOUNDARY CONDITION
    Yang, Lu
    Yang, Meihua
    Wu, Jie
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2013, 42 (01) : 169 - 180
  • [33] Reproducing kernel method for the numerical solution of the Brinkman-Forchheimer momentum equation
    Abbasbandy, S.
    Van Gorder, R. A.
    Bakhtiari, P.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 311 : 262 - 271
  • [34] DYNAMICS OF A 3D BRINKMAN-FORCHHEIMER EQUATION WITH INFINITE DELAY
    Liu, Wenjing
    Yang, Rong
    Yang, Xin-Guang
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 20 (05) : 1907 - 1930
  • [35] STRUCTURAL STABILITY FOR BRINKMAN-FORCHHEIMER EQUATIONS
    Liu, Yan
    Lin, Changhao
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
  • [36] Uniform Attractors for Non-Autonomous Systems of Nonlinearly Viscous Fluid
    A. V. Zvyagin
    Lobachevskii Journal of Mathematics, 2023, 44 : 956 - 968
  • [37] SECOND ORDER NON-AUTONOMOUS LATTICE SYSTEMS AND THEIR UNIFORM ATTRACTORS
    Abdallah, Ahmed Y.
    Wannan, Rania T.
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2019, 18 (04) : 1827 - 1846
  • [38] UNIFORM ATTRACTORS FOR NON-AUTONOMOUS NONCLASSICAL DIFFUSION EQUATIONS ON RN
    Cung The Anh
    Nguyen Duong Toan
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (05) : 1299 - 1324
  • [39] UNIFORM ATTRACTORS AND THEIR CONTINUITY FOR THE NON-AUTONOMOUS KIRCHHOFF WAVE MODELS
    LI, Yanan
    Yang, Zhijian
    Feng, N. A.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (12): : 6267 - 6284
  • [40] Uniform attractors of non-autonomous dissipative semilinear wave equations
    Li, KT
    Zhao, CS
    PROGRESS IN NATURAL SCIENCE, 2003, 13 (02) : 100 - 108
12345