Pointwise Spatial Decay of Weak Solutions to the Navier-Stokes System in 3D Exterior Domains

被引：6

作者：

Deuring, Paul ^{[1
,2
]}

机构：

[1] Univ Lille Nord France, F-59000 Lille, France

[2] ULCO, LMPA, CS 80699, F-62228 Calais, France

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2015年 / 17卷 / 02期

关键词：

Exterior domain; time-dependent incompressible Navier-Stokes system; spatial decay; representation formula; ASYMPTOTIC-BEHAVIOR; TIME-DECAY; EQUATIONS; FLOWS; PROFILES; OPERATOR; SEMIGROUP; VELOCITY; FLUID;

D O I：

10.1007/s00021-014-0198-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider L-2-weak solutions to the Navier-Stokes system in a 3D exterior domain. Under the assumptions that the initial data decrease as O(vertical bar x vertical bar(-mu)) when vertical bar x vertical bar -> infinity, for some mu >= 7/ 6, and that the volume force decays sufficiently fast, we show that the velocity decreases pointwise with the rate O(vertical bar x vertical bar|(-min{mu, 13/5})) for vertical bar x vertical bar -> infinity, uniformly with respect to time.

引用

页码：199 / 232

页数：34

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