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math.AP2025
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+\…
math.AP2024
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…