Dear Colleagues,

We would like to invite you to the following SPASS https://sites.google.com/unipi.it/spass seminar, jointly organized by UniPi, SNS, UniFi and UniSi:

*Turbulence Enhancement in Kinetic Coagulation Equations* by Andrea Papini (Scuola Normale Superiore di Pisa)

The seminar will take place in person on *TUE, 20.12.2022 at 14:00 CET* in Aula Seminari, Department of Mathematics, University of Pisa and streamed online here https://meet.google.com/gji-phwo-vbg.

The organizers, A. Agazzi, G. Bet, A. Caraceni, F. Grotto, G. Zanco https://sites.google.com/unipi.it/spass

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*Title: Turbulence Enhancement in Kinetic Coagulation Equations*

*Abstract: A Smoluchowski type model of coagulation in a turbulent fluid is given, heuristically expressed by means of a stochastic model of a system of second-order (microscopic) coagulating particles, then in a suitable scaling limit as a deterministic model with enhanced diffusion in the velocity component. Existence, uniqueness and regularity is proven under different initial conditions in suitable weighted spaces for the spatially-homogeneous PDE. A precise link between mean intensity of the turbulent velocity field and coagulation enhancement is obtained by numerical simulations.*

*Based on joint works with Franco Flandoli and Ruojun Huang.*