Asymptotic Stability of Landau Solutions to Navier-Stokes System

被引：25

作者：

Karch, Grzegorz ^{[1
]}

Pilarczyk, Dominika ^{[1
]}

机构：

[1] Uniwersytet Wroclawski, Inst Matemat, PL-50384 Wroclaw, Poland

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2011年 / 202卷 / 01期

关键词：

WEAK SOLUTIONS; STATIONARY SOLUTIONS; LP-SOLUTIONS; EQUATIONS; ENERGY; L2;

D O I：

10.1007/s00205-011-0409-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that the three-dimensional Navier-Stokes system for an incompressible fluid in the whole space has a one parameter family of explicit stationary solutions that are axisymmetric and homogeneous of degree -1. We show that these solutions are asymptotically stable under any L-2-perturbation.

引用

页码：115 / 131

页数：17

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