56 citations · 359 across the 75 of their papers we have counts for
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Rigorous mean-field limit and cross diffusion
Li Chen, Esther S. Daus, Ansgar Jüngel
The mean-field limit in a weakly interacting stochastic many-particle system for multiple population species in the whole space is proved. The limiting system consists of cross-dif…
High-friction limits of Euler flows for multicomponent systems
Xiaokai Huo, Ansgar Jüngel, Athanasios E. Tzavaras
The high-friction limit in Euler-Korteweg equations for fluid mixtures is analyzed. The convergence of the solutions towards the zeroth-order limiting system and the first-order co…
Convergence of an implicit Euler Galerkin scheme for Poisson-Maxwell-Stefan systems
Ansgar Jüngel, Oliver Leingang
A fully discrete Galerkin scheme for a thermodynamically consistent transient Max-well-Stefan system for the mass particle densities, coupled to the Poisson equation for the electr…
Global martingale solutions for a stochastic population cross-diffusion system
Gaurav Dhariwal, Ansgar Jüngel, Nicola Zamponi
The existence of global nonnegative martingale solutions to a stochastic cross-diffusion system for an arbitrary but finite number of interacting population species is shown. The r…
Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type
Esther S. Daus, Ansgar Jüngel, Bao Quoc Tang
The large-time asymptotics of weak solutions to Maxwell--Stefan diffusion systems for chemically reacting fluids with different molar masses and reversible reactions are investigat…
Large-time asymptotics of a fractional drift-diffusion-Poisson system via the entropy method
Franz Achleitner, Ansgar Jüngel, Masakazu Yamamoto
The self-similar asymptotics for solutions to the drift-diffusion equation with fractional dissipation, coupled to the Poisson equation, is analyzed in the whole space. It is shown…
Convergence of a Finite-Volume Scheme for a Degenerate Cross-Diffusion Model for Ion Transport
Clément Cancès, Claire Chainais-Hillairet, Anita Gerstenmayer +1
An implicit Euler finite-volume scheme for a degenerate cross-diffusion system describing the ion transport through biological membranes is analyzed. The strongly coupled equations…