Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equations with a slip boundary condition
Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier-Stokes equations with a slip boundary condition
复制标题
具有滑移边界条件的 3D 非齐次不可压缩纳维-斯托克斯方程的消失粘度极限
DOI：
10.1002/mma.4443
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发表时间：
2017
影响因子：
2.9
通讯作者：
Zhang Hui
中科院分区：
文献类型：
--
作者：
Chen Pengfei;Xiao Yuelong;Zhang Hui
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 tomatch well the boundary condition.
