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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.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…