Non-relativistic global limits of the entropy solutions to the relativistic Euler equations with $\gamma$-law

Yachun Li; Xucai Ren

doi:10.3934/cpaa.2006.5.963

Article Contents

2006, Volume 5, Issue 4: 963-979. Doi: 10.3934/cpaa.2006.5.963

This issue Previous Article Approximate controllability and approximate null controllability of semilinear systems Next Article

Non-relativistic global limits of the entropy solutions to the relativistic Euler equations with $\gamma$-law

Yachun Li^1, and
Xucai Ren^2,

1.
Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030
2.
Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240

Received: January 2006

Revised: May 2006

Published: December 2006

Abstract / Introduction Related Papers Cited by

Abstract

We analyze the limit as the speed of light $c\rightarrow\infty$ of the global entropy solutions of the $2\times 2$ relativistic Euler equations for the state $p=\kappa^2\rho^\gamma$ $( 1<\gamma<2 )$, and find that the limit is the entropy solution of the corresponding non-relativistic Euler equations.

Keywords:

Mathematics Subject Classification: Primary: 35B40, 35A05, 76Y05; Secondary: 35B35, 35L65, 85A05.

Citation:

Article Metrics

HTML views() PDF downloads(118) Cited by(0)

Non-relativistic global limits of the entropy solutions to the relativistic Euler equations with $\gamma$-law

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Non-relativistic global limits of the entropy solutions to the relativistic Euler equations with $\gamma$-law

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content