Ruizhao Zi

Global classical large solutions to a 1D fluid-particle interaction model: The bubbling regime

This paper is concerned with the 1D fluid-particle interaction model in the so-called bubbling regime which describes the evolution of particles dispersed in a viscous compressible fluid. The model under investigation is described by the conservation of fluid mass, the balance of momentum and the balance of particle density. We obtained the global existence and uniqueness of the classical large solution to this model with the initial fluid density ρ0 admitting vacuum.

Incompressible Limit of Viscous Liquid-Gas Two-Phase Flow Model

We investigate the incompressible limit of the viscous liquid-gas two-phase flow model with periodic boundary conditions. It is shown that the local classical solution of the two-phase flow model converges to the local classical solution of the incompressible Navier--Stokes equations, as

Global Solutions to the Isentropic Compressible Navier--Stokes Equations with a Class of Large Initial Data

\epsilon\rightarrow \infty

Incompressible limit of the compressible nematic liquid crystal flow

, which builds up the relationship between the two-phase flow model and the incompressible Navier--Stokes equations. In addition, we give the convergence rate estimates in some norms.

Global existence results for Oldroyd-B fluids in exterior domains: The case of non-small coupling parameters

In this paper, we consider the global well-posedness problem of the isentropic compressible Navier-Stokes equations in the whole space

Asymptotic behavior of solutions to 1D compressible Navier-Stokes equations with gravity and vacuum

\R^N

Decay estimates for isentropic compressible Navier–Stokes equations in bounded domain

with

A blow-up criterion for two dimensional compressible viscous heat-conductive flows

N\ge2

Strong solutions of 3D compressible Oldroyd‐B fluids

. In order to better reflect the characteristics of the dispersion equation, we make full use of the role of the frequency on the integrability and regularity of the solution, and prove that the isentropic compressible Navier-Stokes equations admit global solutions when the initial data are close to a stable equilibrium in the sense of suitable hybrid Besov norm. As a consequence, the initial velocity with arbitrary

On the well-posedness of inhomogeneous hyperdissipative Navier-Stokes equations

\dot{B}^{\fr{N}{2}-1}_{2,1}