English

Low-Mach-number limit for two-phase flows

Analysis of PDEs 2026-04-29 v2

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.

Keywords

Cite

@article{arxiv.2512.16286,
  title  = {Low-Mach-number limit for two-phase flows},
  author = {Cassandre Lebot},
  journal= {arXiv preprint arXiv:2512.16286},
  year   = {2026}
}
R2 v1 2026-07-01T08:30:52.865Z