5 papers
Homogenization of a relaxed compressible viscous two-phase fluid model in a domain with very tiny holes
Florian Oschmann, Florian Wendt
We study an approximate system for the compressible Navier-Stokes-Korteweg equations in a bounded domain periodically perforated by small obstacles. As the size of the obstacles de…
Global-in-time existence of finite energy weak solutions to a relaxed Navier-Stokes-Korteweg model
Florian Oschmann, Florian Wendt
We consider a parabolic relaxation formulation of the compressible Navier-Stokes-Korteweg system and prove the global-in-time existence of finite energy weak solutions to the assoc…
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…
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 …
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…