Dr Antonio Esposito
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Well-posedness of an integro-differential model for active Brownian particles,
Bruna, M Burger, M Esposito, A Schulz, S
SIAM Journal on Mathematical Analysis, 54, (2022), no. 5, 5662 - 5697
https://doi.org/10.1137/21M1462039 - arXiv:2111.13245.
Many-particle limit for a system of interaction equations driven by Newtonian potentials
Di Francesco, M Esposito, A Schmidtchen, M
Calculus of Variations and Partial Differential Equations (2021)
Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit
Esposito, A Patacchini, F S Schlichting, A Slepčev, D
Archive for Rational Mechanics and Analysis (2021)
Nonlinear degenerate cross-diffusion systems with nonlocal interaction
Di Francesco, M Esposito, A Fagioli, S
Nonlinear Analysis, vol. 169, pp. 94-117 (2018)
My research focuses on the analysis of partial differential equations (PDEs) modelling nonlocal interaction and/or aggregation-diffusion phenomena. The study of these PDEs arises from applications in, among others, social sciences, biology and data science. More precisely I am interested in gradient flows and their generalisation, including applications to kinetic theory and data science, optimal transport theory applied to evolutionary PDEs, systems of PDEs with nonlinear cross-diffusion and nonlocal interactions, PDEs on graphs/networks, particle approximation for (systems of ) nonlocal PDEs.
Grant for Research in Paris at the Institute Henri Poincarè, Paris, March, 2020.
Fellowship to participate to the Junior Trimester Program ''Kinetic Theory'' at the Hausdorff Research Institute for Mathematics, Bonn, Germany, May-August, 2019.
Grant awarded by the French Embassy in Italy for the organisation of study days to foster collaborations with researchers from French institutions - Grant used to co-organise a mini-workshop at the Gran Sasso Science Instutite in April 2017.