56 citations · 359 across the 75 of their papers we have counts for
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Cross-diffusion systems and fast-reaction limits
E. S. Daus, L. Desvillettes, A. Jüngel
The rigorous asymptotics from reaction-cross-diffusion systems for three species with known entropy to cross-diffusion systems for two variables is investigated. The equations are…
A note on the uniqueness of weak solutions to a class of cross-diffusion systems
Xiuqing Chen, Ansgar Jüngel
The uniqueness of bounded weak solutions to strongly coupled parabolic equations in a bounded domain with no-flux boundary conditions is shown. The equations include cross-diffusio…
Energy-transport systems for optical lattices: derivation, analysis, simulation
Marcel Braukhoff, Ansgar Jüngel
Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffu…
Uniform L estimates for approximate solutions of the bipolar drift-diffusion system
Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Ansgar Jüngel
We establish uniform L bounds for approximate solutions of the drift-diffusion system for electrons and holes in semiconductor devices, computed with the Schar-fetter-Gumm…
A discrete Bakry-Emery method and its application to the porous-medium equation
Ansgar Jüngel, Stefan Schuchnigg
The exponential decay of the relative entropy associated to a fully discrete porous-medium equation in one space dimension is shown by means of a discrete Bakry-Emery approach. The…