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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