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

被引：0
作者：
Yan Yan
Weiping Yan
机构：
[1] Henan University of Economics and Law,School of Mathematics and Information Science
[2] Guangxi University,College of Mathematics and Information Science
来源：
Chinese Annals of Mathematics, Series B | 2023年 / 44卷
关键词：
Navier-Stokes equations; Euler equations; Zero viscosity limit; 35Q30; 35Q31; 76D10;
D O I：
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中图分类号：
学科分类号：
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+ × ℝ2. 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.
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页码：209 / 234
页数：25
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