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| The Inviscid Limit for the Steady Incompressible Navier-Stokes Equations in the Three Dimension* |
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Citation： |
Yan YAN,Weiping YAN.The Inviscid Limit for the Steady Incompressible Navier-Stokes Equations in the Three Dimension*[J].Chinese Annals of Mathematics B,2023,44(2):209~234 |
| Page view： 539
Net amount： 431 |
Authors： |
Yan YAN; Weiping YAN |
Foundation： |
National Natural Science Foundation of China (Nos. 11771359,12161006), the Guangxi Natural Science Foundation (No. 2021JJG110002) and the Special Foundation for Guangxi Ba Gui Scholars. |
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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. |
Keywords： |
Navier-Stokes equations, Euler equations, Zero viscosity limit |
Classification： |
35Q30, 35Q31, 76D10 |
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