Zero Dissipation Limit with Two Interacting Shocks of the 1D Non-Isentropic Navier-Stokes Equations

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成果类型：

期刊论文

作者：

Zhang, Yinghui*;Pan, Ronghua;Wang, Yi;Tan, Zhong

通讯作者：

Zhang, Yinghui

作者机构：

[Zhang, Yinghui] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Hunan, Peoples R China.

[Zhang, Yinghui] Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Phys, Wuhan 430079, Peoples R China.

[Pan, Ronghua] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA.

[Wang, Yi] Acad Sinica, AMSS, Inst Appl Math, Beijing 100190, Peoples R China.

[Tan, Zhong] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China.

通讯机构：

[Zhang, Yinghui] H

Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Hunan, Peoples R China.

语种：

英文

关键词：

Compressible Navier-Stokes equations;Initial layers;Shock waves;Zero dissipation limit

期刊：

INDIANA UNIVERSITY MATHEMATICS JOURNAL

ISSN：

0022-2518

年：

2013

卷：

期：

页码：

249-309

DOI：

10.1512/iumj.2013.62.4899

基金类别：

NSFCNational Natural Science Foundation of China (NSFC) [11301172, 11226170, 11171326, 11271305]; China Postdoctoral Science Foundation funded projectChina Postdoctoral Science Foundation [2012M511640]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [13JJ4095]; National Science FoundationNational Science Foundation (NSF) [DMS-0807406, DMS-1108994]

机构署名：

本校为其他机构

院系归属：

数学与统计学学院

摘要：

We investigate the zero dissipation limit problem of the one-dimensional compressible non-isentropic Navier-Stokes equations with Riemann initial data in the case of the composite wave of two shock waves. It is shown that the unique solution of the Navier-Stokes equations exists for all time, and converges to the Riemann solution of the corresponding Euler equations with the same Riemann initial data uniformly on the set away from the shocks, as both the viscosity and heat-conductivity tend to zero. In contrast to previous related works, where either shock waves are absent or the effects of in...

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Zero Dissipation Limit with Two Interacting Shocks of the 1D Non-Isentropic Navier-Stokes Equations

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