# Journal article

## Uniqueness and asymptotic stability of Riemann solutions for the compressible euler equations

Abstract:

We prove the uniqueness of Rieinann solutions in the class of entropy solutions in C ∞ ∩BV joc for the 3×3 system of compressible Euler equations, under usual assumptions on the equation of state for the pressure which imply strict hyperbolicity of the system and genuine nonlinearity of the first and third characteristic families. In particular, if the Riemann solutions consist of at most rarefaction waves and contact discontinuities, we show th...

### Authors

Journal:
Transactions of the American Mathematical Society
Volume:
353
Issue:
3
Pages:
1103-1117
Publication date:
2001-01-01
ISSN:
0002-9947
Language:
English
Keywords:
Pubs id:
pubs:203265
UUID:
uuid:6f0579b7-2e0a-4d45-8906-92af4ee0639f
Local pid:
pubs:203265
Source identifiers:
203265
Deposit date:
2012-12-19