A note on the zero Mach number limit of compressible Euler equations
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- by Wen-An Yong
- Proc. Amer. Math. Soc. 133 (2005), 3079-3085
- DOI: https://doi.org/10.1090/S0002-9939-05-08077-9
- Published electronically: April 20, 2005
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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.References
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Bibliographic Information
- Wen-An Yong
- Affiliation: IWR, Universität Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany
- Email: yong.wen-an@iwr.uni-heidelberg.de
- Received by editor(s): June 4, 2004
- Published electronically: April 20, 2005
- Communicated by: M. Gregory Forest
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 3079-3085
- MSC (2000): Primary 35B25, 35L45, 76N10
- DOI: https://doi.org/10.1090/S0002-9939-05-08077-9
- MathSciNet review: 2159788