On the Inviscid Limit of the 3D Navier–Stokes Equations with Generalized Navier-Slip Boundary Conditions  

作　　者：Yuelong Xiao Zhouping Xin 

机构地区：[1]School of Mathematics and Computational Science,Xiangtan University,Xiangtan,China [2]The Institute of Mathematical Sciences,The Chinese University of Hong Kong,New Territories,Hong Kong

出　　处：《Communications in Mathematics and Statistics》2013年第3期259-279,共21页数学与统计通讯（英文）

基　　金：This research is supported in part by NSFC 10971174,and Zheng Ge Ru Foundation,and Hong Kong RGC Earmarked Research Grants CUHK-4041/11P,CUHK-4042/08P,a Focus Area Grant from the Chinese University of Hong Kong,and a grant from Croucher Foundation.

摘　　要：In this paper,we investigate the vanishing viscosity limit problem for the 3-dimensional(3D)incompressible Navier-Stokes equations in a general bounded smooth domain of R^3 with the generalized Navier-slip boundary conditions u^ε·n=0,n×(ω^ε)=[Bu^ε]τon∂Ω.Some uniform estimates on rates of convergence in C([0,T],L2(Ω))and C([0,T],H^1(Ω))of the solutions to the corresponding solutions of the ideal Euler equations with the standard slip boundary condition are obtained.

关 键 词：Navier-Stokes equations Slip boundary conditions Inviscid limit 

分 类 号：O17[理学—数学]