Zhi-Peng 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...

Low Mach number limit of the compressible Euler--Vlasov--Fokker--Planck system in the whole space

Although there are many important contributions on compressible and incompressible fluid-particle interaction models respectively, how to connect the two-type fluid-particle models via the low Mach number limit remains a challenging open problem. In this paper, we resolve it for the compressible isentropic fluid-partic...

Global Stability and Asymptotic Behavior of a Pressureless Fluid-Particle Model