The Inviscid Limit for the Steady Incompressible Navier-Stokes Equations in the Three Dimension  

作　　者：Yan YAN Weiping YAN 

机构地区：[1]School of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou 450016,China [2]College of Mathematics and Information Science,Guangxi University,Nanning 530004,China

出　　处：《Chinese Annals of Mathematics,Series B》2023年第2期209-234,共26页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11771359,12161006);the Guangxi Natural Science Foundation(No.2021JJG110002);the Special Foundation for Guangxi Ba Gui Scholars。

摘　　要：In this paper,the authors consider the zero-viscosity limit of the three dimensional incompressible steady Navier-Stokes equations in a half space R+×R^(2).The result shows that the solution of three dimensional incompressible steady Navier-Stokes equations converges to the solution of three dimensional incompressible steady Euler equations in Sobolev space as the viscosity coefficient going to zero.The method is based on a new weighted energy estimates and Nash-Moser iteration scheme.

关 键 词：Navier-Stokes equations Euler equations Zero viscosity limit 

分 类 号：O175[理学—数学]