Pullback Attractor for the 2D Micropolar Fluid Flows with Delay on Unbounded Domains

被引：0
作者：
Wenlong Sun
Guowei Liu
机构：
[1] East China University of Science and Technology,Department of Mathematics
[2] Shanghai Jiao Tong University,School of Mathematical Sciences
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2019年 / 42卷
关键词：
Micropolar fluid flow; Unbounded domains; Pullback attractor; Tempered property; 35B40; 35Q35; 35B41;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we investigate the pullback asymptotic behavior of micropolar fluid flows with delay on 2D unbounded domains. Firstly, the existence of pullback attractor for the universe given by a tempered condition is established. Then we obtain the consistency of the pullback attractor with that for the universe of fixed bounded sets. Furthermore, the tempered behavior of the pullback attractor is given. Here we develop the energy method with the technique of decomposition of spatial domain to overcome the lack of compactness due to unbounded domains.
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页码：2807 / 2833
页数：26
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共 70 条
[1]  
Ball J(2004)Global attractors for damped semilinear wave equations Discrete Contin. Dyn. Syst. 10 31-52
[2]  
Balasubramaniam P(2009)Approximate controllability of second-order stochastic distributed implicit functional differential systems with infinite delay J. Optim. Theory Appl. 143 225-244
[3]  
Muthukumar P(2002)Existence and uniqueness of solutions for delay stochastic evolution equations Stoch. Anal. Appl. 20 1225-1256
[4]  
Caraballo T(2003)Asymptotic behaviour of two-dimensional Navier–Stokes equations with delays Proc. R. Soc. Lond. 459 3181-3194
[5]  
Garrido-Atienza MJ(2004)Attrators for 2D-Navier–Stokes models with delays J. Differ. Equ. 205 271-297
[6]  
Real J(2006)Existence of J. Math. Anal. Appl. 322 512-522
[7]  
Caraballo T(2007)-global attractors of two-dimensional micropolar fluid flows Nonlinearity 20 1619-1635
[8]  
Real J(2007)Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains Discrete Contin. Dyn. Syst. 18 295-313
[9]  
Caraballo T(2006)The exponential stability of neutral stochastic delay partial differential equations Appl. Math. Comput. 182 610-620
[10]  
Real J(2009)Global attractors of two-dimensional micropolar fluid flows in some unbounded domains Discrete Contin. Dyn. Syst. 23 765-784
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