Global strong solutions to the incompressible Navier-Stokes equations with density-dependent viscosity

被引：15

作者：

Yu, Haibo ^{[1
]}

Zhang, Peixin ^{[1
]}

机构：

[1] Huaqiao Univ, Sch Math Sci, Fujian 362021, Quanzhou, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 444卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Global strong solution; Incompressible Navier Stokes equations; Density-dependent viscosity; Vacuum; VISCOUS FLUIDS; WELL-POSEDNESS; SYSTEM; SOLVABILITY; FLOWS;

D O I：

10.1016/j.jmaa.2016.06.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the 3D incompressible Navier-Stokes equations with density-dependent viscosity in a smooth bounded domain. The global well-posedness of strong solutions is established for the case when the bound of density is suitably small, or when the total mass is small with large oscillations. The vacuum is allowed in both cases. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：690 / 699

页数：10

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