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.
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.