Dear Colleagues,

We are pleased to invite you to the following SPASS seminar https://sites.google.com/unipi.it/spass/seminars?authuser=0 (jointly organised by UniPi, SNS, UniFi and UniSi):

Speaker: Lorenzo Marino (Scuola Normale Superiore, Pisa)

Title: Stochastic Transport by Heavy-Tailed Jump Processes

Date and time: Tuesday, September 15th at 15:00 CET

Place: Aula Mancini, Palazzo della Carovana, Scuola Normale Superiore, Pisa

Abstract: In the study of turbulent fluid dynamics, modeling the velocity field as a superposition of divergence-free vector fields with stochastic weights provides crucial insights into the effect of small-scale turbulence on large-scale dynamics. Indeed, under suitable conditions, such transport noise can produce an additional dissipation effect on dynamics via a certain scaling limit. While previous results have mainly focused on the diffusive scaling regime (i.e. when the random weights are described by Gaussian or other light-tailed noises), I will present some recent results, exploring the advection of a passive scalar by a turbulent fluid when the driving noise exhibits heavy-tailed jump statistics.

On behalf of the organisers,

Andrea Di Primio