5 papers
On a degenerate second order traffic model: existence of discrete evolutions, deterministic many-particle limit and first order approximation
Dario Mazzoleni, Emanuela Radici, Filippo Riva
We propose and analyse a new microscopic second order Follow-the-Leader type scheme to describe traffic flows. The main novelty of this model consists in multiplying the second ord…
Deterministic particle method for nonlinear nonlocal scalar balance equations
Emanuela Radici, Federico Stra
We study a deterministic particle scheme to solve a scalar balance equation with nonlocal interaction and nonlinear mobility used to model congested dynamics. The main novelty with…
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…
The five gradients inequality on differentiable manifolds
S. Di Marino, S. Murro, E. Radici
The goal of this paper is to derive the so-called five gradients inequality for optimal transport theory for general cost functions on two class of differentiable manifolds: locall…
On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis
S. Fagioli, E. Radici, L. Romagnoli
We investigated existence of global weak solutions for a system of chemotaxis type with nonlinear degenerate diffusion, arising in modelling Multiple Sclerosis disease. The model c…