Measure solutions for non-local interaction PDEs with two species M Di Francesco, S Fagioli Nonlinearity 26 (10), 2777, 2013 | 122 | 2013 |
Splitting schemes and segregation in reaction cross-diffusion systems JA Carrillo, S Fagioli, F Santambrogio, M Schmidtchen SIAM Journal on Mathematical Analysis 50 (5), 5695-5718, 2018 | 60 | 2018 |
Nonlinear degenerate cross-diffusion systems with nonlocal interaction M Di Francesco, A Esposito, S Fagioli Nonlinear Analysis 169, 94-117, 2018 | 56 | 2018 |
Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic M Di Francesco, S Fagioli, MD Rosini MATHEMATICAL BIOSCIENCES AND ENGINEERING 14 (1), 127 - 141, 2017 | 51 | 2017 |
Deterministic particle approximation for nonlocal transport equations with nonlinear mobility M Di Francesco, S Fagioli, E Radici Journal of Differential Equations 266 (5), 2830-2868, 2019 | 46 | 2019 |
Sorting phenomena in a mathematical model for two mutually attracting/repelling species M Burger, MD Francesco, S Fagioli, A Stevens SIAM Journal on Mathematical Analysis 50 (3), 3210-3250, 2018 | 45 | 2018 |
Deterministic particle approximation of scalar conservation laws M Di Francesco, S Fagioli, MD Rosini Bollettino dell'Unione Matematica Italiana 10 (3), 487-501, 2017 | 40 | 2017 |
A nonlocal swarm model for predators–prey interactions M Di Francesco, S Fagioli Mathematical Models and Methods in Applied Sciences 26 (02), 319-355, 2016 | 40 | 2016 |
Deterministic particle approximation of the Hughes model in one space dimension M Di Francesco, S Fagioli, MD Rosini, G Russo Kinetic and Related Models 10 (1), 215 - 237, 2017 | 33 | 2017 |
Solutions to aggregation–diffusion equations with nonlinear mobility constructed via a deterministic particle approximation S Fagioli, E Radici Mathematical Models and Methods in Applied Sciences 28 (09), 1801-1829, 2018 | 30 | 2018 |
Follow-the-leader approximations of macroscopic models for vehicular and pedestrian flows M Di Francesco, S Fagioli, MD Rosini, G Russo Active Particles, Volume 1: Advances in Theory, Models, and Applications …, 2017 | 28 | 2017 |
Measure solutions to a system of continuity equations driven by Newtonian nonlocal interactions JA Carrillo, M Di Francesco, A Esposito, S Fagioli, M Schmidtchen Discrete & Continuous Dynamical Systems - A 40 (2), 1191-1231, 2020 | 27 | 2020 |
On gradient flow and entropy solutions for nonlocal transport equations with nonlinear mobility S Fagioli, O Tse Nonlinear Analysis 221, 112904, 2022 | 18 | 2022 |
Opinion formation systems via deterministic particles approximation S Fagioli, E Radici arXiv preprint arXiv:2004.04038, 2020 | 17 | 2020 |
A deterministic particle approximation for non-linear conservation laws M Di Francesco, S Fagioli, MD Rosini, G Russo XVI International Conference on Hyperbolic Problems: Theory, Numerics …, 2016 | 10 | 2016 |
Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts L Alasio, M Bruna, S Fagioli, S Schulz Nonlinear Analysis 223, 113064, 2022 | 9 | 2022 |
Multiple patterns formation for an aggregation/diffusion predator-prey system S Fagioli, Y Jaafra arXiv preprint arXiv:1904.05224, 2019 | 9 | 2019 |
The mathematical theory of Hughes’ model: a survey of results D Amadori, B Andreianov, M Di Francesco, S Fagioli, T Girard, P Goatin, ... Crowd Dynamics, Volume 4: Analytics and Human Factors in Crowd Modeling, 9-53, 2023 | 8 | 2023 |
Suitable weak solutions of the Navier–Stokes equations constructed by a space–time numerical discretization LC Berselli, S Fagioli, S Spirito Journal de Mathématiques Pures et Appliquées 125, 189-208, 2019 | 8 | 2019 |
Opinion formation on evolving network: the DPA method applied to a nonlocal cross-diffusion PDE-ODE system S Fagioli, G Favre European Journal of Applied Mathematics 35 (6), 748-775, 2024 | 4 | 2024 |