Dear Colleagues,

we would like to invite you to the following seminar by Ruojun Huang (Scuola Normale Superiore) to be held Wednesday (April 6th) at Dipartimento di Matematica in Pisa and online via Google Meets.

The organizers,

A. Agazzi and F. Grotto

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Location: Sala Seminari, Dipartimento di Matematica, Pisa
Google Meet Link: https://meet.google.com/gji-phwo-vbg
Time: April 6th, 2022, 14:00 CET
Speaker: Ruojun Huang (Scuola Normale Superiore)

Title: Coagulation under environmental noise
Abstract: Environmental noise in a continuum interacting particle system is a space-dependent noise acting on all particles simultaneously. We prove that a system of locally interacting diffusions carrying discrete masses, subject to an environmental noise and undergoing mass coagulation, converges to a system of Stochastic Partial Differential Equations (SPDEs) with Smoluchowski-type nonlinearity. It partially extends a result of Hammond-Rezakhanlou (2007) who considered the PDE case, with our motivation coming from trying to understand the effect of turbulence on rain formations. Based on a joint work with Franco Flandoli.