Global Wellposedness for the 3D Inhomogeneous Incompressible Navier-Stokes Equations

被引：69

作者：

Craig, Walter ^{[1
]}

Huang, Xiangdi ^{[2
,3
]}

Wang, Yun ^{[4
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

[2] Chinese Acad Sci, AMSS, NCMIS, Beijing 100190, Peoples R China

[3] Osaka Univ, Grad Sch Informat Sci & Technol, Dept Pure & Appl Math, Osaka, Japan

[4] Soochow Univ, Dept Math, Suzhou 215006, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2013年 / 15卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Inhomogeneous incompressible fluids; strong solutions; vacuum; VISCOUS FLUIDS; WELL-POSEDNESS; REGULARITY; DENSITY; SOLVABILITY; EXISTENCE; BOUNDARY;

D O I：

10.1007/s00021-013-0133-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses the three-dimensional Navier-Stokes equations for an incompressible fluid whose density is permitted to be inhomogeneous. We establish a theorem of global existence and uniqueness of strong solutions for initial data with small -norm, which also satisfies a natural compatibility condition. A key point of the theorem is that the initial density need not be strictly positive.

引用

页码：747 / 758

页数：12

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