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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on the zero Mach number limit of compressible Euler equations


Author: Wen-An Yong
Journal: Proc. Amer. Math. Soc. 133 (2005), 3079-3085
MSC (2000): Primary 35B25, 35L45, 76N10
Published electronically: April 20, 2005
MathSciNet review: 2159788
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Abstract: This note presents a short and elementary justification of the classical zero Mach number limit for isentropic compressible Euler equations with prepared initial data. We also show the existence of smooth compressible flows, with the Mach number sufficiently small, on the (finite) time interval where the incompressible Euler equations have smooth solutions.


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Additional Information

Wen-An Yong
Affiliation: IWR, Universität Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany
Email: yong.wen-an@iwr.uni-heidelberg.de

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08077-9
PII: S 0002-9939(05)08077-9
Keywords: Compressible Euler equations, incompressible limit, symmetrizable hyperbolic systems, continuation principle, energy estimates
Received by editor(s): June 4, 2004
Published electronically: April 20, 2005
Communicated by: M. Gregory Forest
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.