The Inviscid Limit of Navier-Stokes Equations for Analytic Data on the Half-Space

作     者：Nguyen, Toan T. Nguyen, Trinh T. 

作者机构：Penn State Univ Dept Math State Coll PA 16803 USA 

出 版 物：《ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS》 (理论力学与分析文献)

年 卷 期：2018年第230卷第3期

页      面：1103-1129页

核心收录：

学科分类：08[工学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：National Science Foundation  NSF  (DMS-1405728  DMS 1764119  DMS-1405728  1764119) 

主　　题：INVISCID flow NAVIER-Stokes equations ANALYTIC geometry BOUNDARY layer (Aerodynamics) TANGENTIAL force FUNCTION spaces PRANDTL number 

摘      要：In their classical work, Sammartino and Caflisch (Commun Math Phys 192(2):433-461, 1998a;Commun Math Phys 192(2):463-491, 1998b) proved the inviscid limit of the incompressible Navier-Stokes equations for well-prepared data with analytic regularity in the half-space. Their proof is based on the detailed construction of Prandtl s boundary layer asymptotic expansions. In this paper, we give a direct proof of the inviscid limit for general analytic data without having to construct Prandtl s boundary layer correctors. Our analysis makes use of the boundary vorticity formulation and the abstract Cauchy-Kovalevskaya theorem on analytic boundary layer function spaces that capture unbounded vorticity.