Zero dissipation limit of the 1D linearized Navier-Stokes equations for a compressible fluid

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:374

Article

Wang, Jing^1,2 

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] CUHK, Inst Math Sci, Shatin, Hong Kong, Peoples R China

关键词: Linearized compressible Navier-Stokes equations;    Characteristic boundary layers;    Degenerate viscosity matrix;    Asymptotic analysis;    Energy estimate;   

DOI  :  10.1016/j.jmaa.2010.08.006

来源: Elsevier

【 摘 要 】

In this paper we study the asymptotic limiting behavior of the solutions to the initial boundary value problem for linearized one-dimensional compressible Navier-Stokes equations. We consider the characteristic boundary conditions, that is we assume that an eigenvalue of the associated inviscid Euler system vanishes uniformly on the boundary. The aim of this paper is to understand the evolution of the boundary layer, to construct the asymptotic ansatz which is uniformly valid up to the boundary, and to obtain rigorously the uniform convergence to the solution of the Euler equations without the weakness assumption on the boundary layer. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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