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math.AP2026
Steady-State Phase Transition States and Large-Time Asymptotics for the Cauchy Problem of Compressible Navier-Stokes Equations with van der Waals Equation of State
Yazhou Chen, Yi Peng, Xiaoding Shi +1
We study the Cauchy problem for the one-dimensional isothermal compressible Navier--Stokes system with the van der Waals equation of state, and analyze the well-posedness and asymp…
math.AP2026
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…
math.AP2026
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…