Pullback attractor of the 2D non-autonomous magneto-micropolar fluid equations

被引:0
作者
Zhou, Gang [1 ]
Gao, Rui [2 ]
Tian, Congyang [3 ]
机构
[1] Shanghai Dianji Univ, Coll Arts & Sci, Shanghai 201306, Peoples R China
[2] Cangzhou Normal Univ, Sch Math & Stat, Cangzhou 061001, Peoples R China
[3] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China
关键词
magneto-micropolar fluid equations; pullback attractor; flattening property; DYNAMICAL BEHAVIORS; EXISTENCE; FLOWS; UNIQUENESS; MANIFOLDS;
D O I
10.1515/math-2025-0174
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this article is to establish the existence of the pullback attractors for the non-autonomous magneto-micropolar fluid equations in 2D bounded domains. To this end, the asymptotic compactness of the processes generated by the solutions is required, which is proved by verifying the flattening property (also known as the "Condition C") of the corresponding processes.
引用
收藏
页数:12
相关论文
共 38 条
[1]  
Boyer F., 1975, MATH TOOLS STUDY INC
[2]  
Chepyzhov V. V., 2002, ATTRACTORS EQUATIONS
[3]   INVARIANT-MANIFOLDS FOR FLOWS IN BANACH-SPACES [J].
CHOW, SN ;
LU, K .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 74 (02) :285-317
[4]   POLAR FLUIDS [J].
COWIN, SC .
PHYSICS OF FLUIDS, 1968, 11 (09) :1919-&
[5]  
ERINGEN AC, 1966, J MATH MECH, V16, P1
[6]   INERTIAL MANIFOLDS FOR NONLINEAR EVOLUTIONARY EQUATIONS [J].
FOIAS, C ;
SELL, GR ;
TEMAM, R .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1988, 73 (02) :309-353
[7]  
Foias C., 1988, Mathematical Modelling and Numerical Analysis, V22, P93
[8]   NOTE ON EXISTENCE AND UNIQUENESS OF SOLUTIONS OF MICROPOLAR FLUID EQUATIONS [J].
GALDI, GP ;
RIONERO, S .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1977, 15 (02) :105-108
[9]   PULLBACK ATTRACTORS FOR THE NON-AUTONOMOUS 2D NAVIER STOKES EQUATIONS FOR MINIMALLY REGULAR FORCING [J].
Garcia-Luengo, Julia ;
Marin-Rubio, Pedro ;
Real, Jose ;
Robinson, James C. .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (01) :203-227
[10]   Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour [J].
Garcia-Luengo, Julia ;
Marin-Rubio, Pedro ;
Real, Jose .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (08) :4333-4356