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：

暂无

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.

引用

页码：209 / 234

页数：25

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