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

Yong, Wen-An

doi:10.1090/S0002-9939-05-08077-9

A note on the zero Mach number limit of compressible Euler equations
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Proc. Amer. Math. Soc. 133 (2005), 3079-3085 Request permission

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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