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