3 citations · 3 across the 6 of their papers we have counts for
8 papers
Second order two-species systems with nonlocal interactions: existence and large damping limits
Marco Di Francesco, Simone Fagioli, Valeria Iorio
We study the mathematical theory of second order systems with two species, arising in the dynamics of interacting particles subject to linear damping, to nonlocal forces and to ext…
Optimal control problems of nonlocal interaction equations
S. Fagioli, A. Kaufmann, E. Radici
In the present work we deal with the existence of solutions for optimal control problems associated to transport equations. The behaviour of a population of individuals will be inf…
Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts
Luca Alasio, Maria Bruna, Simone Fagioli +1
We prove existence and Sobolev regularity of solutions of a nonlinear system of degenerate-parabolic PDEs with self- and cross-diffusion, transport/confinement and nonlocal interac…
Opinion Formation Systems via Deterministic Particles Approximation
Simone Fagioli, Emanuela Radici
We propose an ODE-based derivation for a generalized class of opinion formation models either for single and multiple species (followers, leaders, trolls). The approach is purely d…
Multiple Patterns Formation for an Aggregation/Diffusion Predator-Prey System
S. Fagioli, Y. Jaafra
We investigate existence of stationary solutions to an aggregation/diffusion system of PDEs, modelling a two species predator-prey interaction. In the model this interaction is des…
Deterministic particle approximation for nonlocal transport equations with nonlinear mobility
M. Di Francesco, S. Fagioli, E. Radici
We construct a deterministic, Lagrangian many-particle approximation to a class of nonlocal transport PDEs with nonlinear mobility arising in many contexts in biology and social sc…