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arXiv · 2512.16286

Low-Mach-number limit for two-phase flows

Cassandre Lebot
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Abstract

This paper is devoted to the formal study of the low-Mach-number limit for solutions of the compressible Navier-Stokes or Euler equations for different types of fluids.We first review the different results obtained in the case of flows consisting of one phase. Then, we focus on the low-Mach-number limit for two-phase flows, considering different types of systems: with an algebraic closure or a PDE closure for the pressure, with one single or two different velocities, without or with entropy.

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Cassandre Lebot. 2025-12-18. Low-Mach-number limit for two-phase flows. https://arxiv.org/abs/2512.16286

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