4 papers
Energy consistent hyperbolic approximation for a class of fourth-order partial differential equations
Rahul Barthwal, Firas Dhaouadi, Christian Rohde
In this article, we propose a novel hyperbolic relaxation system for a general class of fourth-order nonlinear partial differential equations arising in the modelling of thin film…
Global Existence for a Class of Keyfitz--Kranzer Systems with Application to Thin-Film Flows
Rahul Barthwal, Philipp Öffner, Christian Rohde
We prove the existence of global weak entropy solutions for a class of non-symmetric Keyfitz-Kranzer type systems that includes lubrication models for thin-film flow. We identify a…
An Energy-Stable Discontinuous Galerkin Method for the Compressible Navier--Stokes--Allen--Cahn System
Lukas Ostrowski, Christian Rohde
We consider a Navier--Stokes--Allen--Cahn (NSAC) system that governs the compressible motion of a viscous, immiscible two-phase fluid at constant temperature. Weak solutions of the…
A Multiscale Method for Two-Component, Two-Phase Flow with a Neural Network Surrogate
Jim Magiera, Christian Rohde
Understanding the dynamics of phase boundaries in fluids requires quantitative knowledge about the microscale processes at the interface. We consider the sharp-interface motion of…