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arXiv · 1804.09509

On the low Mach number limit for the compressible Euler system

Eduard Feireisl·Christian Klingenberg·Simon Markfelder
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Abstract

In this paper, we propose a new approach to singular limits of inviscid fluid flows based on the concept of dissipative measure-valued solutions. We show that dissipative measure-valued solutions of the compressible Euler equations converge to the smooth solution of the incompressible Euler system when the Mach number tends to zero. This holds both for well-prepared and ill-prepared initial data, where in the latter case the presence of acoustic waves causes difficulties. However this effect is eliminated on unbounded domains thanks to dispersion.

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Eduard Feireisl, Christian Klingenberg, Simon Markfelder. 2018-04-25. On the low Mach number limit for the compressible Euler system. https://doi.org/10.1137/17m1131799

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