The inviscid limit for an inflow problem of compressible viscous gas in presence of both shocks and boundary layers

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:378

Article

Ma, Shixiang^1,2 

[1] S China Normal Univ, Sch Math Sci, Guang Zhou 510631, Guangdong, Peoples R China

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

关键词: Compressible Navier-Stokes equations;    Compressible Euler system;    Inviscid limit;    Single shock;    Initial boundary value problem;   

DOI  :  10.1016/j.jmaa.2010.12.037

来源: Elsevier

【 摘 要 】

In this paper, we study the inviscid limit problem for the Navier-Stokes equations of one-dimensional compressible viscous gas on half plane. We prove that if the solution of the inviscid Euler system on half plane is piecewise smooth with a single shock satisfying the entropy condition, then there exist solutions to Navier-Stokes equations which converge to the inviscid solution away from the shock discontinuity and the boundary at an optimal rate of epsilon(1) as the viscosity epsilon tends to zero. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

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