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:
*Restoration of uniqueness by transport noise for stochastic 2D Boussinesq equations* by Shuaijie Jiao (University of Chinese Academy of Sciences, Beijing)
The seminar will take place in person on *TUE, 14.10.2025 at 14:00* in Aula Seminari, Department of Mathematics, University of Pisa and streamed online here: Zoom Meeting https://us06web.zoom.us/j/82898233779?pwd=UwaJHrvAnbmj8TuuebRdW4DbqJy1zT.1 Meeting ID: 828 9823 3779 Passcode: 896251
Join instructions https://us06web.zoom.us/meetings/82898233779/invitations?signature=Ma1Od8oqo...
The organizers, G. Bet, F. Butori, A. Caraceni, F. Grotto, F. Triggiano, G. Zanco https://sites.google.com/unipi.it/spass
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*Abstract: * *We investigate the inviscid 2D Boussinesq equations driven by rough transport noise of Kraichnan type with regularity index $\alpha\in (0,1/2)$. For all $1<p<\infty$, we establish the existence and uniqueness of probabilistic strong solutions for all $L^p$ initial vorticity and $L^2$ initial temperature, under the parameter constraint $0<\alpha< 1-1/(p\wedge 2)$. Based on the noise-induced anomalous regularity established by Coghi and Maurelli, we show that the stochastic Boussinesq system is stable with respect to the initial data, which not only implies the pathwise uniqueness but also enables us to directly prove the existence of probabilistically strong solutions without resorting to the compactness method. *
*The talk is based on joint work with Dejun Luo.*