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

共 50 条

[1] Global smooth solutions of the compressible Navier-Stokes equations with density-dependent viscosity
Qin, Xulong
Yao, Zheng-an
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (08) : 2041 - 2061
[2] Global existence of strong solutions of the Navier-Stokes equations for isentropic compressible fluids with density-dependent viscosity
Wen, Huanyao
Yao, Lei
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 349 (02) : 503 - 515
[3] Global solutions of compressible barotropic Navier-Stokes equations with a density-dependent viscosity coefficient
Zhang, Ting
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (04)
[4] Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity
Lian, Ruxu
Huang, Lan
Liu, Jian
[J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
[5] Analytical solutions to the Navier-Stokes equations with density-dependent viscosity and with pressure
Yeung, Ling Hei
Yuen, Manwai
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (08)
[6] Global strong solution for viscous incompressible heat conducting Navier-Stokes flows with density-dependent viscosity
Zhong, Xin
[J]. ANALYSIS AND APPLICATIONS, 2018, 16 (05) : 623 - 647
[7] Compressible Navier-Stokes equations with density-dependent viscosity
Ting Z.
[J]. Applied Mathematics-A Journal of Chinese Universities, 2006, 21 (2) : 165 - 178
[8] GLOBAL SOLUTIONS OF THE FREE BOUNDARY PROBLEM FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY
Qin, Xulong
Yao, Zheng-an
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2010, 9 (04) : 1041 - 1052
[9] Global Strong Solutions of the Cauchy Problem for 1D Compressible Navier-Stokes Equations with Density-dependent Viscosity
Sheng-quan LIU
Jun-ning ZHAO
[J]. Acta Mathematicae Applicatae Sinica, 2017, 33 (01) : 25 - 34
[10] Global strong solutions of the Cauchy problem for 1D compressible Navier-Stokes equations with density-dependent viscosity
Sheng-quan Liu
Jun-ning Zhao
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2017, 33 : 25 - 34

← 1 2 3 4 5 →