Zhuan-Ye Zhang

Low Mach number limit of a two-phase flow model in $\mathbb{R}^3$

We study the simultaneous low Mach number limit of a compressible Navier--Stokes--Euler two-phase system in $\mathbb R^3$, in which the pressure terms in both phases are scaled by $\varepsilon^{-2}$. For sufficiently small $H^3$-perturbations around the constant equilibrium, we establish the global well-posedness of th...