Special Session 15: On the dynamics of hyperbolic partial differential equations: theory and applications

A new duality method for mean-field limits with singular interactions

Pierre-Emmanuel Jabin
Pennsylvania State University
USA
Co-Author(s):    D. Bresch, M. Duerinckx
Abstract:
We introduce a new approach to justify mean-field limits for first- and second-order particle systems with singular interactions. It is based on a duality approach combined with the analysis of linearized dual correlations, and it allows to cover for the first time arbitrary square-integrable interaction forces with a possibly vanishing temperature parameter.