3 papers
math.AP2023
Existence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth
Christoph Helmer, Ansgar Jüngel
The global existence of bounded weak solutions to a diffusion system modeling biofilm growth is proven. The equations consist of a reaction-diffusion equation for the substrate con…
math.NA2021
Analysis of a finite-volume scheme for a single-species biofilm model
Christoph Helmer, Ansgar Jüngel, Antoine Zurek
An implicit Euler finite-volume scheme for a parabolic reaction-diffusion system modeling biofilm growth is analyzed and implemented. The system consists of a degenerate-singular d…
math.AP2020
Analysis of Maxwell-Stefan systems for heat conducting fluid mixtures
Christoph Helmer, Ansgar Jüngel
The global-in-time existence of bounded weak solutions to the Maxwell-Stefan-Fourier equations in Fick-Onsager form is proved. The model consists of the mass balance equations for…