7 citations · 8 across the 3 of their papers we have counts for
4 papers · 1 filter
Measure solutions, smoothing effect, and deterministic particle approximation for a conservation law with nonlocal flux
M. Di Francesco, S. Fagioli, E. Radici
We consider a class of nonlocal conservation laws with an interaction kernel supported on the negative real half-line and featuring a decreasing jump at the origin. We provide, for…
Small inertia limit for coupled kinetic swarming models
Young-Pil Choi, Simone Fagioli, Valeria Iorio
We investigate various versions of multi-dimensional systems involving many species, modeling aggregation phenomena through nonlocal interaction terms. We establish a rigorous conn…
The mathematical theory of Hughes' model: a survey of results
Debora Amadori, Boris Andreianov, Marco Di Francesco +9
We provide an overview of the results on Hughes' model for pedestrian movements available in the literature. After the first successful approaches to solving a regularised version…
Splitting Schemes & Segregation In Reaction-(Cross-)Diffusion Systems
José A. Carrillo, Simone Fagioli, Filippo Santambrogio +1
One of the most fascinating phenomena observed in reaction-diffusion systems is the emergence of segregated solutions, i.e. population densities with disjoint supports. We analyse…