Low Mach and thin domain limit for the compressible Euler system

Abstract

We consider the compressible Euler system describing the motion of an ideal fluid confined to a straight layer ${\Omega }_{\delta }=(0,\delta )\times {\mathbb{R}}^2,\delta >0$. In the framework of dissipative measure-valued solutions, we show the convergence to the strong solution of the 2D incompressible Euler system when the Mach number tends to zero and $\delta \to 0$.

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• Weak-strong uniqueness of dissipative measure-valued solutions for polyconvex elastodynamics
• On the low Mach number limit for the compressible Euler system
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