18 citations · 43 across the 16 of their papers we have counts for
3 papers · 1 filter
Nonlinear degenerate cross-diffusion systems with nonlocal interaction
M. Di Francesco, A. Esposito, S. Fagioli
We investigate a class of systems of partial differential equations with nonlinear cross-diffusion and nonlocal interactions, which are of interest in several contexts in social sc…
Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization
Luigi C. Berselli, Simone Fagioli, Stefano Spirito
We prove that weak solutions obtained as limits of certain numerical space-time discretizations are suitable in the sense of Scheffer and Caffarelli-Kohn-Nirenberg. More precisely,…
Sorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling Species
Martin Burger, Marco Di Francesco, Simone Fagioli +1
Macroscopic models for systems involving diffusion, short-range repulsion, and long-range attraction have been studied extensively in the last decades. In this paper we extend the…