[HTML][HTML] Nonlocal cross-diffusion systems for multi-species populations and networks

A Jüngel, S Portisch, A Zurek - Nonlinear Analysis, 2022 - Elsevier
Nonlocal cross-diffusion systems on the torus, arising in population dynamics and
neuroscience, are analyzed. The global existence of weak solutions, the weak–strong …

Cross-diffusion systems with entropy structure

A Jüngel - arXiv preprint arXiv:1710.01623, 2017 - arxiv.org
Some results on cross-diffusion systems with entropy structure are reviewed. The focus is on
local-in-time existence results for general systems with normally elliptic diffusion operators …

Finite volumes for the Stefan–Maxwell cross-diffusion system

C Cancès, V Ehrlacher… - IMA Journal of Numerical …, 2024 - academic.oup.com
The aim of this work is to propose a provably convergent finite volume scheme for the so-
called Stefan–Maxwell model, which describes the evolution of the composition of a multi …

Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion

S Georgiadis, AE Tzavaras - ESAIM: Mathematical Modelling and …, 2023 - esaim-m2an.org
A Type-I model of a multicomponent system of fluids with non-constant temperature is
derived as the high-friction limit of a Type-II model via a Chapman-Enskog expansion. The …

Existence and weak–strong uniqueness for Maxwell–Stefan–Cahn–Hilliard systems

X Huo, A Jüngel, AE Tzavaras - Annales de l'Institut Henri Poincaré C, 2023 - ems.press
A Maxwell–Stefan system for fluid mixtures with driving forces depending on Cahn–Hilliard-
type chemical potentials is analyzed. The corresponding parabolic cross-diffusion equations …

On multi-species diffusion with size exclusion

K Hopf, M Burger - Nonlinear Analysis, 2022 - Elsevier
We revisit a classical continuum model for the diffusion of multiple species with size-
exclusion constraint, which leads to a degenerate nonlinear cross-diffusion system. The …

Evolutionary dynamics of populations structured by dietary diversity and starvation: cross-diffusion systems

E Brocchieri - 2023 - iris.uniroma1.it
In questa tesi presentiamo alcuni progressi nell'analisi di problemi parabolici non lineari,
derivanti dalla biologia e dall'ecologia. In particolare, studiamo l'esistenza, la regolarità e la …

Global existence of weak solutions and weak–strong uniqueness for nonisothermal Maxwell–Stefan systems

S Georgiadis, A Jüngel - Nonlinearity, 2024 - iopscience.iop.org
The dynamics of multicomponent gas mixtures with vanishing barycentric velocity is
described by Maxwell–Stefan equations with mass diffusion and heat conduction. The …

Weak-strong uniqueness for a class of degenerate parabolic cross-diffusion systems

P Laurençot, BV Matioc - arXiv preprint arXiv:2207.00361, 2022 - arxiv.org
Bounded weak solutions to a particular class of degenerate parabolic cross-diffusion
systems are shown to coincide with the unique strong solution determined by the same …

Global existence of weak solutions and weak-strong uniqueness for nonisothermal Maxwell-Stefan systems

S Georgiadis, A Jüngel - arXiv preprint arXiv:2303.17693, 2023 - arxiv.org
The dynamics of multicomponent gas mixtures with vanishing barycentric velocity is
described by Maxwell-Stefan equations with mass diffusion and heat conduction. The …