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文献详情 >The Inviscid Limit for the Ste... 收藏

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.

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