| The Inviscid Limit for the Steady Incompressible Navier-Stokes Equations in the Three Dimension |
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| 作者姓名： | Yan YAN Weiping YAN |
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| 作者单位： | 1. School of Mathematics and Information Science, Henan University of Economics and Law;2. College of Mathematics and Information Science, Guangxi University |
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| 基金项目： | supported by the National Natural Science Foundation of China (Nos. 11771359,12161006)；;the Guangxi Natural Science Foundation (No. 2021JJG110002)； |
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| 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 itera...
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| 修稿时间： | 2022/1/5 0:00:00 |
The Inviscid Limit for the Steady Incompressible Navier-Stokes Equations in the Three Dimension* |
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| Yan YAN,Weiping YAN.The Inviscid Limit for the Steady Incompressible Navier-Stokes Equations in the Three Dimension[J].Chinese Annals of Mathematics,Series B,2023,44(2):209-234. |
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| Authors: | Yan YAN Weiping YAN |
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| Institution: | School of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450016, China.; Corresponding author. College of Mathematics and Information Science, Guangxi University, Nanning 530004, China. |
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| Abstract: | 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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| Keywords: | Navier-Stokes equations Euler equations Zero viscosity limit |
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