Seminario Análisis y EDPs
Mean-field limits for singular flows
Ponente: Sylvia Serfaty (Courant Institute)Fecha: miércoles 22 de febrero de 2023 - 15:00Online: http://us06web.zoom.us/j/81491079139?pwd=OWo1TWc0NEExNDJZUFljWVRIdkZRQT09
Resumen:
We discuss the derivation of PDEs as limits as N tends to infinity of the dynamics of N points for a certain class of Coulomb and Riesz-type singular pair interactions. The method is based on studying the time evolution of a certain "modulated energy" and on proving a functional inequality relating certain "commutators" to the modulated energy. When additive noise is added, some uniform in time convergence results can be obtained. Based on joint works with Hung Nguyen, Matthew Rosenzweig, Antonin Chodron de Courcel.