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20182022
most citedGlobal Strong Solutions to the Compressible Magnetohydrodynamic Equations with Slip Boundary Conditions in 3D Bounded Domains

4 citations · 5 across the 7 of their papers we have counts for

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Showing 2021 · math.APShow all

6 papers · 2 filters

math.AP2021

Asymptotic Stability of Phase Separation States for Compressible Immiscible Two-Phase Flow with Periodic Boundary Condition in 3D

Yazhou Chen, Hakho Hong, Xiaoding Shi

This paper is concerned with a diffuse interface model called as Navier-Stokes/Cahn-Hilliard system. This model is usually used to describe the motion of immiscible two-phase flow…

math.AP2021

Stability of the Phase Separation State for Compressible Navier-Stokes/Allen-Cahn System

Yazhou Chen, Hakho Hong, Xiaoding Shi

This paper is concerned with the large time behavior of the Cauchy problem for Navier-Stokes/Allen-Cahn system describing the interface motion of immiscible two-phase flow in 3-D.…

math.AP20214 cited

Global Strong Solutions to the Compressible Magnetohydrodynamic Equations with Slip Boundary Conditions in 3D Bounded Domains

Yazhou Chen, Bin Huang, Xiaoding Shi

We deal with the barotropic compressible magnetohydrodynamic equations in three-dimensional (3D) bounded domain with slip boundary condition and vacuum. By a series of a priori est…

math.AP2021

Global Well-posedness of Classical Solutions to the Compressible Navier-Stokes-Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains

Yazhou Chen, Bin Huang, Xiaoding Shi

We consider the initial-boundary-value problem of the isentropic compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile in 3D bounded domain with…

math.AP2021

On Compressible Navier-Stokes Equations Subject to Large Potential Forces with Slip Boundary Conditions in 3D Bounded Domains

Guocai Cai, Bin Huang, Xiaoding Shi

We deal with the barotropic compressible Navier-Stokes equations subject to large external potential forces with slip boundary condition in a 3D simply connected bounded domain, wh…

math.AP2021

Sharp interface limit for compressible non-isentropic phase-field model

Chen Yazhou, He Qiaolin, Shi Xiaoding +1

In this paper, the sharp interface limit for the compressible non-isentropic Navier-Stokes/Allen-Cahn system is derived by the method of matched asymptotic expansion. We show that…