Long-time asymptotics of the second grade fluid equations on R2

被引：0

作者：

Jaffal-Mourtada, Basma ^{[1
]}

机构：

[1] Univ Paris 11, Math Lab, F-91405 Orsay, France

来源：

DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 8卷 / 03期

关键词：

Second grade fluid system; weighted Sobolev spaces; Oseen vortex; NAVIER-STOKES; CLASSICAL-SOLUTIONS; VORTICITY EQUATIONS; SCALING VARIABLES; STABILITY; WEAK; EXISTENCE; BEHAVIOR;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the large time behavior of solutions of the second grade fluid system in the space R-2. Using scaled variables and introducing several functionals in weighted Sobolev spaces, we prove that the solution of the second grade fluid equations converges to the Oseen vortex, if the initial data are small enough. We also give an estimate of the rate of convergence.

引用

页码：185 / 223

页数：39

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