56 citations · 359 across the 75 of their papers we have counts for
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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…
Existence analysis of a degenerate diffusion system for heat-conducting fluids
Gianluca Favre, Ansgar Jüngel, Christian Schmeiser +1
The existence of global weak solutions to a parabolic energy-transport system in a bounded domain with no-flux boundary conditions is proved. The model can be derived in the diffus…
A minimizing-movements approach to GENERIC systems
Ansgar Jüngel, Ulisse Stefanelli, Lara Trussardi
We present a new time discretization scheme adapted to the structure of GENERIC systems. The scheme is variational in nature and is based on a conditional incremental minimization.…
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…
Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms
Esther S. Daus, Ansgar Jüngel, Antoine Zurek
An implicit Euler finite-volume scheme for a cross-diffusion system modeling biofilm growth is analyzed by exploiting its formal gradient-flow structure. The numerical scheme is ba…
Entropy-dissipating finite-difference schemes for nonlinear fourth-order parabolic equations
Marcel Braukhoff, Ansgar Jüngel
Structure-preserving finite-difference schemes for general nonlinear fourth-order parabolic equations on the one-dimensional torus are derived. Examples include the thin-film and t…
Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures
Miroslav Buliček, Ansgar Jüngel, Milan Pokorný +1
The existence of large-data weak solutions to a steady compressible Navier-Stokes-Fourier system for chemically reacting fluid mixtures is proved. General free energies are conside…