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math.AP2025
Effective Equations for a Compressible Liquid-Vapor Flow Model with Highly Oscillating Initial Density
Christian Rohde, Florian Wendt
We derive and justify a new effective model for a compressible viscous liquid-vapor flow on a spray-like scale, i.e., for settings with a large number of phase boundaries. As a mod…
math.AP2025
Weak-Strong Uniqueness and Relaxation Limit for a Navier-Stokes-Korteweg Model
Nilasis Chaudhuri, Christian Rohde, Florian Wendt
We consider a parabolic relaxation model for the compressible Navier-Stokes-Korteweg equations in the isothermal framework. This system depends on the relaxation parameters …
math.AP2025
Mathematical Justification of a BaerNunziato Model for a Compressible Viscous Fluid with Phase Transition
Christian Rohde, Florian Wendt
In this work, we justify a BaerNunziato system including appropriate closure terms as the macroscopic description of a compressible viscous fluid that can occur in a liquid or a…