On the steady Prandtl boundary layer expansions  

作　　者：Chen Gao Liqun Zhang 

机构地区：[1]Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [2]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China [3]Hua Loo-Keng Key Laboratory of Mathematics,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Science China Mathematics》2023年第9期1993-2020,共28页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 11471320 and 11631008)。

摘　　要：In this paper,we consider the zero-viscosity limit of the 2D steady Navier-Stokes equations in(0,L)×R+with no-slip boundary conditions.By estimating the stream-function of the remainder,we justify the validity of the Prandtl boundary layer expansions.Specially,we show the global stability under the concavity condition of the Prandtl profile for an arbitrarily large constant L when the Euler flow is shear.

关 键 词：Navier-Stokes equations Prandtl boundary layer zero-viscosity limit stream-function estimates of theremainder 

分 类 号：O175[理学—数学]