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.

引用

页数：5

共 14 条

[11] On the movement of a viscous fluid to fill the space [J].

Leray, J .

ACTA MATHEMATICA, 1934, 63 (01) :193-248

[12] L2 DECAY FOR WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS. [J].

Schonbek, Maria Elena .

Archive for Rational Mechanics and Analysis, 1985, 88 (03) :209-222

[13]

Teman R., 1977, NAVIER STOKES EQUATI

[14] New results of general n-dimensional incompressible Navier-Stokes equations [J].

Zhang, Linghai .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (11) :3470-3502

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