Large Time Behavior for Weak Solutions of the 3D Globally Modified Navier-Stokes Equations

被引：0
|
作者：
Ren, Junbai [1 ]
机构：
[1] Jiangxi Univ Finance & Econ, Res Ctr Appl Stat, Sch Stat, Nanchang 330013, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
V-ATTRACTORS; L2; DECAY;
D O I：
10.1155/2014/879780
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the large time behavior of the weak solutions for three-dimensional globally modified Navier-Stokes equations. With the aid of energy methods and auxiliary decay estimates together with L-p - L-q estimates of heat semigroup, we derive the optimal upper and lower decay estimates of the weak solutions for the globally modified Navier-Stokes equations as C-1(1 + t)(-3/4) <= parallel to u parallel to(L2) (1 + t)(-3/4), t > 1. The decay rate is optimal since it coincides with that of heat equation.
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页数：5
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