IWR, Universität Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany
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.