Attractors for nonautonomous 2D Navier-Stokes equations with less regular symbols

被引：12
|
作者：
Ma, Shan [1 ]
Zhong, Chengkui [1 ]
Song, Haitao [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 09期
基金：
美国国家科学基金会;
关键词：
Uniform attractor; Translation compact; Uniform Condition (C); Normal Condition (C*); Navier-Stokes equations; DIFFERENTIAL EQUATIONS; TOPOLOGICAL DYNAMICS; EXTERNAL FORCES; EXISTENCE; SYSTEMS;
D O I：
10.1016/j.na.2009.02.107
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new class of functions satisfying normal Condition (C*), denoted by L(nc*)(2) (R; X), which are translation bounded but not translation compact - in particular, which are more general than normal functions (see [S.S. Lu, H.Q Wu, C.K. Zhong, Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces, Discrete Contin. Dyn. Syst., 13 (2005) 701-719] for the definition), denoted by L(n)(2)(R; X). n Furthermore,we prove the existence of uniform attractors for 2D Navier-Stokes equations with external forces belonging to L(nc*)(2) (R; L(2)(Omega)) in H(0)(1). (c) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4215 / 4222
页数：8
相关论文
共 50 条
  • [1] Attractors for nonautonomous 2D Navier-Stokes equations with less regular normal forces
    Lu, Songsong
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 230 (01) : 196 - 212
  • [2] Attractors for nonautonomous 2D Navier-Stokes equations with normal external forces
    Lu, SS
    Wu, HQ
    Zhong, CK
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2005, 13 (03) : 701 - 719
  • [3] Attractors for nonautonomous nonhomogeneous Navier-Stokes equations
    Miranville, A
    Wang, X
    [J]. NONLINEARITY, 1997, 10 (05) : 1047 - 1061
  • [4] The attractors for the nonhomogeneous nonautonomous Navier-Stokes equations
    Wu, Delin
    Zhong, Chengkui
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 321 (01) : 426 - 444
  • [5] Upper Semicontinuous Property of Uniform Attractors for the 2D Nonautonomous Navier-Stokes Equations with Damping
    Yang, Xin-Guang
    Li, Jun-Tao
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [6] Pullback Attractors for 2D Navier-Stokes Equations with Delays and Their Regularity
    Garcia-Luengo, Julia
    Marin-Rubio, Pedro
    Real, Jose
    [J]. ADVANCED NONLINEAR STUDIES, 2013, 13 (02) : 331 - 357
  • [7] Trajectory attractors for dissipative 2D Euler and Navier-Stokes equations
    Chepyzhov, V. V.
    Vishik, M. I.
    [J]. RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2008, 15 (02) : 156 - 170
  • [8] UPPER SEMICONTINUITY OF GLOBAL ATTRACTORS FOR 2D NAVIER-STOKES EQUATIONS
    Zhao, Caidi
    Duan, Jinqiao
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (03):
  • [9] Trajectory attractors for dissipative 2D Euler and Navier-Stokes equations
    V. V. Chepyzhov
    M. I. Vishik
    [J]. Russian Journal of Mathematical Physics, 2008, 15 : 156 - 170
  • [10] The fractal dimension of pullback attractors for the 2D Navier-Stokes equations with delay
    Yang, Xin-Guang
    Guo, Boling
    Guo, Chunxiao
    Li, Desheng
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (17) : 9637 - 9653
12345