SIAM Journal on Mathematical Analysis, Volume 52, Issue 5, Page 4616-4637, January 2020.
In this paper, we establish the short time inviscid limit of the incompressible Navier--Stokes equations with critical Navier-slip boundary conditions for analytic data on half-space, a boundary condition that is physically derived from the hydrodynamic limit of the Boltzmann equations with the Maxwell boundary conditions. The analysis is built upon the recent framework developed by T. T. Nguyen and T. T. Nguyen [Arch. Ration. Mech. Anal., 230 (2018), pp. 1103--1129] in the case of the classical no-slip boundary conditions. The novelty in this paper is to derive the precise pointwise bound on the Green kernel for the Stokes problem with a nonlocal boundary condition and to propagate the boundary layer behavior for vorticity.

中文翻译：

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Navier-Stokes的无痕极限，具有临界Navier-Slip边界条件的分析数据

SIAM数学分析杂志，第52卷，第5期，第4616-4637页，2020
年1月。在本文中，我们建立了具有临界Navier滑移边界条件的不可压缩Navier-Stokes方程的短时间无粘极限，用于分析数据。半空间，一种边界条件，它是从带有麦克斯韦边界条件的玻尔兹曼方程的流体力学极限中物理得出的。该分析是基于TT Nguyen和TT Nguyen [Arch。配给。机甲 Anal。，230（2018），pp.1103--1129]。本文的新颖之处在于，针对具有非局部边界条件的Stokes问题，推导了Green核上的精确点向界，并传播了边界层的涡度行为。