GLOBAL WELL-POSEDNESS AND PULLBACK ATTRACTORS FOR A TWO-DIMENSIONAL NON-AUTONOMOUS MICROPOLAR FLUID FLOWS WITH INFINITE DELAYS

被引：17
作者：
Zhao, Caidi [1 ]
Sun, Wenlong [2 ]
机构：
[1] Wenzhou Univ, Dept Math & Informat Sci, Wenzhou 325035, Zhejiang, Peoples R China
[2] East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2017年 / 15卷 / 01期
关键词：
Micropolar fluid flows; infinite delays; pullback attractor; LONG-TIME BEHAVIOR; 2D-NAVIER-STOKES EQUATIONS; ASYMPTOTIC-BEHAVIOR; EXISTENCE;
D O I：
10.4310/CMS.2017.v15.n1.a5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the non-autonomous micropolar fluid flows in two-dimensional bounded domains with external forces containing infinite delay effects. The authors first prove the global well-posedness of the weak solutions and then establish the existence of the pullback attractors for the associated process.
引用
收藏
页码：97 / 121
页数：25
相关论文
共 44 条
  • [1] Adams R.A., 1975, Sobolev Spaces
  • [2] [Anonymous], 2010, FUNCTIONAL ANAL
  • [3] [Anonymous], 1999, Micropolar Fluids, Theory and applications, Modeling and simulations in Science, Engineering and Technology
  • [4] [Anonymous], 2012, Infinite-dimensional dynamical systems in mechanics and physics, DOI 10.1007/978-1-4684-0313-8
  • [5] On pullback attractors for a class of two-dimensional turbulent shear flows
    Boukrouche, Mahdi
    Lukaszewicz, Grzegorz
    Real, J.
    [J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2006, 44 (13-14) : 830 - 844
  • [6] Boyer F., 2012, MATH TOOLS STUDY INC
  • [7] Pullback attractors for asymptotically compact non-autonomous dynamical systems
    Caraballo, T
    Lukaszewicz, G
    Real, J
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (03) : 484 - 498
  • [8] Attractors for 2D-Navier-Stokes models with delays
    Caraballo, T
    Real, J
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 205 (02) : 271 - 297
  • [9] Asymptotic behaviour of two-dimensional Navier-Stokes equations with delays
    Caraballo, T
    Real, J
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2003, 459 (2040): : 3181 - 3194
  • [10] Pullback attractor for non-homogeneous micropolar fluid flows in non-smooth domains
    Chen, Guang-Xia
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 3018 - 3027
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