Marseille, France
Marseille, France
My research activity focuses on the study of Partial Differential Equations and their application. In particular, I am interested in nonlocal aggregation phenomena. More precisely:
systems of PDEs with many species coupled through nonlocal interactions;
particle approximation of nonlocal PDEs;
scale limits;
optimal transportation theory;
kinetic equations.
S. Fagioli, V. Iorio. Two-species system with nonlocal interactions driven by Riesz potentials. 2026. Preprint.
M. Di Francesco, S. Fagioli, V. Iorio, and M. D. Rosini. Fully discrete follow-the-leader approximation of one-dimensional scalar conservation laws with vacuum. Journal of Mathematical Analysis and Applications, 567(2):131108, 2027. Preprint.
M. Di Francesco, V. Iorio, M. Schmidtchen. The approximation of the quadratic porous medium equation via nonlocal interacting particles subject to repulsive Morse potential. SIAM Journal on Mathematical Analysis, 57(5):4631–4679, 2025. Preprint.
M. Di Francesco, V. Iorio. A system of continuity equations with nonlocal interactions of Morse type. Communications on Pure and Applied Analysis, 24(8):1381–1405, 2025. Preprint.
Y.-P. Choi, S. Fagioli, V. Iorio. Small inertia limit for coupled kinetic swarming models. Journal of Nonlinear Science}, 35(39):1432–1467, 2025. Preprint.
J. I. M. Hauser, V. Iorio, M. Schmidtchen. A convergent finite volume method for a kinetic model for interacting species. Kinetic and Related Models, 8(3):343–367, 2025. Preprint.
M. Di Francesco, S. Fagioli, V. Iorio. Second order two-species systems with nonlocal interactions: Existence and large damping limits. Acta Applicandae Mathematicae, 184, 04, 2023. Preprint.