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From gas dynamics to pressureless gas dynamics
Author(s):
Jean-François
Coulombel
Journal:
Proc. Amer. Math. Soc.
134
(2006),
683-688.
MSC (2000):
Primary 35L45, 76N15;
Secondary 35Q35
Posted:
October 17, 2005
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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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- 1.
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Vanishing pressure in gas dynamics equations.
Z. Angew. Math. Phys., 51(1):143-148, 2000. MR 1745295 (2000k:76113) - 2.
- M. Grassin.
Global smooth solutions to Euler equations for a perfect gas.
Indiana Univ. Math. J., 47(4):1397-1432, 1998. MR 1687130 (2000d:76100) - 3.
- T. Makino, S. Ukai, and S. Kawashima.
Sur la solution à support compact de l'équation d'Euler compressible.
Japan J. Appl. Math., 3(2):249-257, 1986. MR 0899222 (88g:35159) - 4.
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Global smooth solutions of some quasi-linear hyperbolic systems with large data.
Ann. Fac. Sci. Toulouse Math. (6), 8(4):649-659, 1999. MR 1815159 (2002a:35134) - 5.
- D. Serre.
Solutions classiques globales des équations d'Euler pour un fluide parfait compressible.
Ann. Inst. Fourier (Grenoble), 47(1):139-153, 1997. MR 1437182 (98a:35108) - 6.
- Y. B. Zeldovich.
Gravitational instability: an approximate theory for large density perturbations.
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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:
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
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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