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

作     者：Yan YAN Weiping YAN Yan YAN;Weiping YAN

作者机构：School of Mathematics and Information ScienceHenan University of Economics and LawZhengzhou 450016China College of Mathematics and Information ScienceGuangxi UniversityNanning 530004China 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：2023年第44卷第2期

页      面：209-234页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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 

主　　题：Navier-Stokes equations Euler equations Zero viscosity limit 

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 *** method is based on a new weighted energy estimates and Nash-Moser iteration scheme.