Dear Colleagues, We are pleased to invite you to the following two SPASS seminars https://sites.google.com/unipi.it/spass/seminars?authuser=0 <https://sites.google.com/unipi.it/spass/seminars?authuser=0%3E> (jointly organised by UniPi, SNS, UniFi and UniSi): Regularization by transport noise of 3D Navier-Stokes equations by Antonio Agresti (Università di Roma La Sapienza) and Transport noise in natural convection by Theresa Lange (Max Planck Institute for Mathematics in the Sciences) Date and time: Tuesday, November 3rd at 14:00 CET Place: Aula Mancini, Palazzo della Carovana, Scuola Normale Superiore, Pisa Abstract Agresti: Finite-time blow-up of smooth solutions to the forced 3D Navier-Stokes equations (NSEs) has recently been claimed. A long-standing conjecture in stochastic fluid dynamics suggests that physically motivated noise can prevent (potential) blow-up of solutions to the 3D NSEs. In this talk, I will illustrate how suitably chosen transport noise, motivated by models of turbulent fluid transport, yields global-in-time smooth solutions to the stochastic 3D NSEs with high probability. The arguments reveal new connections between homogenization techniques and scaling limits for SPDEs. Abstract Lange: In this talk, we will explore the role of transport noise in the context of natural convection: a fluid confined between two horizontally aligned plates will be heated from below and cooled from above. At a high temperature difference at the boundaries, the fluid will be turbulent and it is a longstanding challenge in physics and engineering to characterise the average heat flux (called the Nusselt number Nu) in terms of said temperature difference. In the mathematical literature various results in this direction have been obtained in the form of upper bounds on Nu aligned with physicists' predictions. In this talk, I will present a novel viewpoint on a treatment of this problem via stochastic parametrisation. Link for online meeting: https://teams.microsoft.com/meet/390074246582827?p=Xp6u4MkqCTuuHNvlpl On behalf of the organisers, Lorenzo Marino