The weak-strong uniqueness for Maxwell--Stefan systems and some generalized systems is
proved. The corresponding parabolic cross-diffusion equations are considered in a bounded …

Nonlocal cross-diffusion systems on the torus, arising in population dynamics and
neuroscience, are analyzed. The global existence of weak solutions, the weak–strong …

The weak–strong uniqueness for renormalized solutions to reaction–cross-diffusion systems
in a bounded domain with no-flux boundary conditions is proved. The system generalizes …

The paper is devoted to the mathematical analysis of the Cauchy problem for general cross-
diffusion systems without any assumption about its entropic structure. A global existence …

This paper solves partially a question suggested by Fontbona and Méléard. The issue is to
obtain rigorously cross-diffusion systems à la Shigesada--Kawasaki--Teramoto as the limit of …

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 …

We establish weak–strong uniqueness and stability properties of renormalized solutions to a
class of energy-reaction-diffusion systems. The systems considered are motivated by …

The dynamics of multicomponent gas mixtures with vanishing barycentric velocity is
described by Maxwell–Stefan equations with mass diffusion and heat conduction. The …

In this article we show a C 0, α-partial regularity result for solutions of a certain class of cross-
diffusion systems with entropy structure. Under slightly more stringent conditions on the …

We analyze the mathematical properties of a multispecies biofilm cross-diffusion model
together with very general reaction terms and mixed Dirichlet--Neumann boundary …