Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations

Lili Fan; LIzhi Ruan; Wei Xiang

doi:10.1016/j.anihpc.2018.03.008

Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations

Lili Fan
, LIzhi Ruan^*
, Wei Xiang

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

32 Citations (Scopus)

Abstract

This paper is devoted to the study of the wellposedness of the radiative Euler equations. By employing the anti-derivative method, we show the unique global-in-time existence and the asymptotic stability of the solutions of the radiative Euler equations for the composite wave of two viscous shock waves with small strength. This method developed here is also helpful to other related problems with similar analytical difficulties.

Original language	English
Pages (from-to)	1-25
Journal	Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume	36
Issue number	1
Online published	9 Apr 2018
DOIs	https://doi.org/10.1016/j.anihpc.2018.03.008
Publication status	Published - Jan 2019

Research Keywords

Diffusion wave
Radiative Euler equations
Stability
Viscous shock waves

RGC Funding Information

RGC-funded

Access Output

10.1016/j.anihpc.2018.03.008

https://www.sciencedirect.com/science/article/pii/S0294144918300374Licence: Elsevier user license

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{66c33f2a82f044e4aa3cc4cfeea065b6,

title = "Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations",

abstract = "This paper is devoted to the study of the wellposedness of the radiative Euler equations. By employing the anti-derivative method, we show the unique global-in-time existence and the asymptotic stability of the solutions of the radiative Euler equations for the composite wave of two viscous shock waves with small strength. This method developed here is also helpful to other related problems with similar analytical difficulties.",

keywords = "Diffusion wave, Radiative Euler equations, Stability, Viscous shock waves",

author = "Lili Fan and LIzhi Ruan and Wei Xiang",

year = "2019",

month = jan,

doi = "10.1016/j.anihpc.2018.03.008",

language = "English",

volume = "36",

pages = "1--25",

journal = "Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis",

issn = "0294-1449",

publisher = "European Mathematical Society Publishing House",

number = "1",

}

Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations. / Fan, Lili; Ruan, LIzhi; Xiang, Wei.
In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Vol. 36, No. 1, 01.2019, p. 1-25.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

TY - JOUR

T1 - Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations

AU - Fan, Lili

AU - Ruan, LIzhi

AU - Xiang, Wei

PY - 2019/1

Y1 - 2019/1

N2 - This paper is devoted to the study of the wellposedness of the radiative Euler equations. By employing the anti-derivative method, we show the unique global-in-time existence and the asymptotic stability of the solutions of the radiative Euler equations for the composite wave of two viscous shock waves with small strength. This method developed here is also helpful to other related problems with similar analytical difficulties.

AB - This paper is devoted to the study of the wellposedness of the radiative Euler equations. By employing the anti-derivative method, we show the unique global-in-time existence and the asymptotic stability of the solutions of the radiative Euler equations for the composite wave of two viscous shock waves with small strength. This method developed here is also helpful to other related problems with similar analytical difficulties.

KW - Diffusion wave

KW - Radiative Euler equations

KW - Stability

KW - Viscous shock waves

UR - https://www.scopus.com/pages/publications/85045114499

UR - https://www.scopus.com/pages/publications/85045114499#tab=impact

U2 - 10.1016/j.anihpc.2018.03.008

DO - 10.1016/j.anihpc.2018.03.008

M3 - RGC 21 - Publication in refereed journal

SN - 0294-1449

VL - 36

SP - 1

EP - 25

JO - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis

JF - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis

IS - 1

ER -

Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations

Abstract

Research Keywords

RGC Funding Information

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

GRF: Discontinuous Compressible Flows Onto Solid Objects

ECS: Shock Diffraction/Reflection and Related Problems in Multi-Dimensional Conservation Laws

Cite this

Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations

Abstract

Research Keywords

RGC Funding Information

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Projects

GRF: Discontinuous Compressible Flows Onto Solid Objects

ECS: Shock Diffraction/Reflection and Related Problems in Multi-Dimensional Conservation Laws

Cite this