Global Smooth Solutions to the 2-D Inhomogeneous Navier-Stokes Equations with Variable Viscosity

被引：2
|
作者：
Guilong GUI Ping ZHANG Academy of Mathematics and Systems Science
机构：
来源：
Chinese Annals of Mathematics | 2009年 / 30卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Inhomogeneous Navier-Stokes equations; Littlewood-Paley theory; Global smooth solutions;
D O I：
暂无
中图分类号：
O35 [流体力学];
学科分类号：
080103 ; 080704 ;
摘要：
Under the assumptions that the initial density ρ0 is close enough to 1 and ρ0-1∈Hs+1（R2）;u0∈Hs（R2）∩H∈（R2） for s>2 and 0<ε<1;the authors prove the global existence and uniqueness of smooth solutions to the 2-D inhomogeneous Navier-Stokes equations with the viscous coefficient depending on the density of the fluid.Furthermore,the L2 decay rate of the velocity field is obtained.
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页码：607 / 630
页数：24
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