Electron. J. Differential Equations, Vol. 2017 (2017), No. 169, pp. 1-13.

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

Pengfei Chen, Yuelong Xiao, Hui Zhang

Abstract:
In this article we consider the three-dimensional nonhomogeneous incompressible Navier-Stokes equation with special slip boundary conditions in a bounded domain. We discuss the problem of the vanishing viscosity limit and provide a rate of convergence estimates for the strong solution.

Submitted April 3, 2017. Published July 6, 2017.
Math Subject Classifications: 35Q35, 35B40, 35B65, 76B03.
Key Words: Navier-Stokes equation; slip boundary conditions; vanishing viscosity limit.

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Pengfei Chen
School of Mathematical Sciences
Xiangtan University
Hunan 411105, China
email: cpfxtu@163.com
Yuelong Xiao
School of Mathematical Sciences
Xiangtan University
Hunan 411105, China
email: xyl@xtu.edu.cn
Hui Zhang
School of Mathematics and computation Sciences
Anqing Normal University
AnHui, 246133 China
email: zhangaqtc@126.com

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