Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equations with a slip boundary condition

被引：4

作者：

Chen, Pengfei ^{[1
]}

Xiao, Yuelong ^{[1
]}

Zhang, Hui ^{[2
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

[2] Anqing Normal Univ, Dept Math, Anqing 246133, Anhui, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 16期

关键词：

nonhomogeneous incompressible Navier-Stokes equations; vanishing viscosity limit; slip boundary conditions; INVISCID LIMITS; DENSITY; SYSTEM; FLUIDS; REGULARITY;

D O I：

10.1002/mma.4443

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equations with a slip boundary condition. We establish the local well-posedness of the strong solutions for initial boundary value problems for such systems. Furthermore, the vanishing viscosity limit process is established, and a strong rate of convergence is obtained as the boundary of the domain is flat. In addition, it is needed to add some additional condition for density to match well the boundary condition. Copyright (c) 2017 John Wiley & Sons, Ltd.

引用

页码：5925 / 5932

页数：8

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