Global L2 Stability of the Nonhomogeneous Incompressible Navier–Stokes Equations

被引：0
|
作者：
Xiao Jing CAI [1 ,2 ]
Quan Sen JIU [3 ]
Yan Jie ZHOU [1 ]
机构：
[1] Department of Mathematics,Beijing Technology and Business University
[2] Department of Applied Mathematics,Beijing University of Technology
[3] School of Mathematical Sciences,Capital Normal University
来源：
Acta Mathematica Sinica,English Series | 2013年 / 11期
基金：
中国国家自然科学基金;
关键词：
Nonhomogeneous incompressible Navier–Stokes equations; strong solutions; stability;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper,the problem of the globalL2stability for large solutions to the nonhomogeneous incompressible Navier-Stokes equations in 3D bounded or unbounded domains is studied.By delicate energy estimates and under the suitable condition of the large solutions,it shows that if the initial data are small perturbation on those of the known strong solutions,the large solutions are stable.
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页码：2087 / 2098
页数：12
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