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From gas dynamics to pressureless gas dynamics
Author:
Jean-François Coulombel
Journal:
Proc. Amer. Math. Soc. 134 (2006), 683-688
MSC (2000):
Primary 35L45, 76N15; Secondary 35Q35
Posted:
October 17, 2005
MathSciNet review:
2180884
Full-text PDF Free Access
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Abstract: This paper is devoted to the convergence of solutions of the compressible Euler equations towards solutions of the pressureless gas dynamics system, when the pressure tends to 0. The goal is to prove accurate uniform bounds for particular solutions of the Euler equations.
References
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Additional Information
Jean-François Coulombel
Affiliation:
CNRS & Université de Lille 1, UFR de Mathématiques, Cité Scientifique, 59655 Villeneuve d'Ascq Cedex, France
Email:
jfcoulom@math.univ-lille1.fr
DOI:
http://dx.doi.org/10.1090/S0002-9939-05-08087-1
PII:
S 0002-9939(05)08087-1
Keywords:
Euler equations,
pressureless gases,
smooth solutions
Received by editor(s):
January 7, 2004
Posted:
October 17, 2005
Communicated by:
Suncica Canic
Article copyright:
© Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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