4 citations · 8 across the 10 of their papers we have counts for
19 papers
Analysis of a fractional cross-diffusion system for multi-species populations
Ansgar Jüngel, Nicola Zamponi
The global in time existence of weak solutions to a cross-diffusion system with fractional diffusion in the whole space is proved. The equations describe the evolution of multi-spe…
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…
Analysis and mean-field derivation of a porous-medium equation with fractional diffusion
Li Chen, Alexandra Holzinger, Ansgar Jüngel +1
A mean-field-type limit from stochastic moderately interacting many-particle systems with singular Riesz potential is performed, leading to nonlocal porous-medium equations in the…
A discrete boundedness-by-entropy method for finite-volume approximations of cross-diffusion systems
Ansgar Jüngel, Antoine Zurek
An implicit Euler finite-volume scheme for general cross-diffusion systems with volume-filling constraints is proposed and analyzed. The diffusion matrix may be nonsymmetric and no…
A convergent structure-preserving finite-volume scheme for the Shigesada-Kawasaki-Teramoto population system
Antoine Zurek, Ansgar Jüngel
An implicit Euler finite-volume scheme for an -species population cross-diffusion system of Shigesada--Kawasaki--Teramoto-type in a bounded domain with no-flux boundary conditio…
Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems
Li Chen, Esther S. Daus, Alexandra Holzinger +1
Population cross-diffusion systems of Shigesada-Kawasaki-Teramoto type are derived in a mean-field-type limit from stochastic, moderately interacting many-particle systems for mult…