3 papers
math.NA2026
Justification of a Relaxation Approximation for the Navier-Stokes-Cahn-Hilliard System
Jan Giesselmann, Jens Keim, Fabio Leotta +1
The Navier-Stokes-Cahn-Hilliard (NSCH) system governs the diffuse-interface dynamics of two incompressible and immiscible fluids. We consider a relaxation approximation of the NSCH…
math.NA2026
A Structure Preserving Finite Volume Scheme for the Navier-Stokes-Korteweg Equations
Jan Giesselmann, Philipp Öffner, Robert Sauerborn
We present a semi-discrete finite volume scheme for the local NavierStokes-Korteweg and Euler-Korteweg systems. Our scheme is applicable for equidistant Cartesian meshes in one and…
math.AP2025
Extending relative entropy for Korteweg-Type models with non-monotone pressure:large friction limit and weak-strong uniqueness
Giada Cianfarani Carnevale, Jan Giesselmann
In this paper we study weak-strong uniqueness and singular relaxation limits for the Euler--Korteweg and Navier--Stokes--Korteweg systems with non monotone pressure. Both weak-stro…