Low Mach and thin domain limit for the compressible Euler system

preprint2020arXivOpen access

Abstract

We consider the compressible Euler system describing the motion of an ideal fluid confined to a straight layer Ωδ=(0,δ)×R2,  δ>0Ω_δ=(0,δ)\times\mathbb{R}^2, \ \ δ>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 δ→0δ\rightarrow0.

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