Coagulation under environmental noise – Ruojun Huang (Scuola Normale Superiore Pisa)

Venue

Sala Seminari (Dip. Matematica).

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.

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