5 papers · 1 filter
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(Ï,θ)=- aÏ^…
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…
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…