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arXiv · 2001.09162

Low Mach and thin domain limit for the compressible Euler system

Matteo Caggio·Bernard Ducomet·Sarka Necasova·Tong Tang
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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 $\delta\rightarrow0$.

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Matteo Caggio, Bernard Ducomet, Sarka Necasova, Tong Tang. 2020-01-24. Low Mach and thin domain limit for the compressible Euler system. https://arxiv.org/abs/2001.09162

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