ASYMPTOTIC PROFILES OF SOLUTIONS TO THE 2D VISCOUS INCOMPRESSIBLE MICROPOLAR FLUID FLOWS

被引:60
作者
Dong, Bo-Qing [1 ]
Chen, Zhi-Min [2 ]
机构
[1] Anhui Univ, Sch Math Sci, Hefei 230039, Anhui, Peoples R China
[2] Univ Southampton, Sch Engn Sci, Southampton SO17 1BJ, Hants, England
关键词
micropolar fluid flows; spectral decomposition; asymptotic profiles; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; TIME BEHAVIOR; L2; DECAY; ATTRACTORS; EXISTENCE; UNIQUENESS; DOMAINS; RN;
D O I
10.3934/dcds.2009.23.765
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows in the whole space R-2. Based on the spectral decomposition of linearized micropolar fluid flows, the sharp algebraic time decay estimates of the micropolar fluid flows in L-2 and L-infinity norms are obtained.
引用
收藏
页码:765 / 784
页数:20
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