Decay of solutions to the three-dimensional generalized Navier-Stokes equations

被引：24
|
作者：
Jiu, Quansen [1 ]
Yu, Huan [1 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
来源：
ASYMPTOTIC ANALYSIS | 2015年 / 94卷 / 1-2期
关键词：
generalized Navier-Stokes equations; decay; Fourier-splitting method; LARGE-TIME BEHAVIOR; WEAK SOLUTIONS; L2; DECAY; REGULARITY; EXISTENCE;
D O I：
10.3233/ASY-151307
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, temporal decay estimates for weak solutions to the three dimensional generalized Navier-Stokes equations are established firstly. With these estimates at disposal, algebraic time decay for higher order Sobolev norms of small initial data solutions are obtained. The decay rates are optimal in the sense that they coincide with ones of the corresponding generalized heat equation.
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页码：105 / 124
页数：20
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