8 citations · 17 across the 18 of their papers we have counts for
18 papers
Stability of admissible solutions for coexisting phase transitions for one-dimensional compressible van der Waals fluids
Yazhou Chen, Qiaolin He, Dongjuan Niu +2
In this paper, we investigate the dynamic stability of certain steady-state solutions to the periodic boundary value problem for compressible isentropic Navier-Stokes system under…
A Regularized Framework and Admissible Solutions for Liquid-Vapor Phase Transitions in Steady Compressible Flows
Yazhou Chen, Qiaolin He, Dongjuan Niu +2
We investigate the well-posedness of the periodic boundary value problem for the steady compressible isentropic Navier-Stokes system under the van der Waals equation of state. The…
Phase Transition in Non-isentropic Compressible Immiscible Two-Phase Flow with van der Waals Equation of State
Yazhou Chen, Yi Peng, Xiaoding Shi +1
This study establishes the global well-posedness of the compressible non-isentropic Navier-Stokes/Allen-Cahn system governed by the van der Waals equation of state $p(ρ,θ)=- aρ^2+\…
Large Time Behavior of Solutions to Cauchy Problem for 1-D Compressible Isentropic Navier-Stokes/Allen-Cahn System
Yazhou Chen, Qiaolin He, Xiaoding Shi
This paper is concerned with the large time behavior of the solutions to the Cauchy problem for the one-dimensional compressible Navier-Stokes/Allen-Cahn system with the immiscible…
Large Time Behavior and Sharp Interface Limit of Compressible Navier-Stokes/Allen-Cahn System for Interacting Shock Waves
Yazhou Chen, Qiaolin He, Xiaoding Shi +1
In this paper, we study the large time behavior and sharp interface limit of the Cauchy problem for compressible Navier-Stokes/Allen-Cahn system with interaction shock waves in the…
Sharp Interface Limit for Compressible Immiscible Two-Phase Dynamics with Relaxation
Yazhou Chen, Yi Peng, Qiaolin He +1
In this paper, the compressible immiscible two-phase flow with relaxation is investigated, this model can be regarded as a natural modification of Jin-Xin relaxation scheme propose…
Global Well-Posedness of Full Compressible Magnetohydrodynamic System in 3D Bounded Domains with Large Oscillations and Vacuum
Yazhou Chen, Yunkun Chen, Xue Wang
The three-dimensional (3D) full compressible magnetohydrodynamic system is studied in a general bounded domain with slip boundary condition for the velocity filed, adiabatic condit…
Global Strong Solutions to the Compressible Magnetohydrodynamic Equations with Slip Boundary Conditions in a 3D Exterior Domain
Yazhou Chen, Bin Huang, Xiaoding Shi
In this paper we study the initial-boundary-value problem for the barotropic compressible magnetohydrodynamic system with slip boundary conditions in three-dimensional exterior dom…
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…
Global Strong and Weak Solutions to the Initial-boundary-value Problem of 2D Compressible MHD System with Large Initial Data and Vacuum
Yazhou Chen, Bin Huang, Xiaoding Shi
In this paper, we study the barotropic compressible magnetohydrodynamic equations with the shear viscosity being a positive constant and the bulk one being proportional to a power…
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.…
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…
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…
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…
The Cauchy Problem for Non-Isentropic compressible Navier-Stokes/Allen-Cahn system with Degenerate Heat-Conductivity
Yazhou Chen, Qiaolin He, Bin Huang +1
The Cauchy problem for non-isentropic compressible Navier-Stokes/Allen-Cahn system with degenerate heat-conductivity in 1-d is discussed in this paper. This syste…
Global Strong Solution to a Thermodynamic Compressible Diffuse Interface Model with Temperature Dependent Heat-conductivity in 1-D
Yazhou Chen, Qiaolin He, Bin Huang +1
In this paper, we investigate the wellposedness of the non-isentropic compressible Navier-Stokes/Allen-Cahn system with the heat-conductivity proportional to a positive power of th…
Stability of degenerate stationary solution to the outflow problem for full Navier-Stokes equations
Yazhou Chen, Hakho Hong, Xiaoding Shi
This paper is concerned with the large-time behavior of solutions to the outflow problem of full compressible Navier-Stokes equations in the half line. This is one of the series of…
Asymptotic Stability of Solutions for 1-D Compressible Navier-Stokes-Cahn-Hilliard system
Yazhou Chen, Qiaolin He, Ming Mei +1
This paper is concerned with the evolution of the periodic boundary value problem and the mixed boundary value problem for a compressible mixture of binary fluids modeled by the Na…