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

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 …

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 …

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 …

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 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 …

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 …

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

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 …

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