January 2024 - Analysis-seminar - Mailing list — Dipartimento di Matematica, UniPI

Annuncio workshop centro De Giorgi - Turbulence on the Banks of the Arno
by LUIGI FORCELLA 30 Jan '24

30 Jan '24

Da parte di Mauro e del Gruppo Probabilità, inoltro l'annuncio del workshop "Turbulence on the Banks of the Arno" che inizierà domani presso il Centro De Giorgi. Luigi ------ We are glad to announce the 1st edition of the workshop "Turbulence on the Banks of the Arno", to be held at Scuola Normale Superiore in Pisa (Italy) from the 31st of January to the 2nd of February 2024. The goal of the workshop is to provide a platform for early-stage researchers (ideally Ph.D. students and postdoctoral fellows) working in the field of turbulence to come together, exchange ideas, and present their own research. The workshop will also feature two lecture series, delivered by Professors Jeremie Bec and Michele Coti Zelati. More details are available at the web page: https://indico.sns.it/e/tuba Please notice that registration to the event is free but mandatory. The deadline for registration is November 15th 2023. Accommodation in Pisa will be provided free of charge for all participants, and additional remboursement for travel expenses may be granted upon request. Please feel free to circulate this message to anybody who might be interested. Looking forward to seeing you in Pisa, The organizers, Franco Flandoli, Eliseo Luongo, Silvia Morlacchi, Andrea Papini, Umberto Pappalettera

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Reminder seminario mercoledì 24/01
by Ilaria Lucardesi 23 Jan '24

23 Jan '24

Care tutte, cari tutti, vi ricordiamo il seminario<https://www.dm.unipi.it/en/seminar/?id=65a3e4409ddab435806cdd26><https://www.dm.unipi.it/seminario/?id=65956b978023a1bee8a2279c> di domani alle ore 17, Aula Riunioni, di Giulia Bevilacqua (UniPi). Il seminario sarà preceduto da una piccola merenda alle 16:30 nella stessa aula. Il prossimo seminario sarà di Tohru Ozawa (Waseda Univ.) venerdì 2 febbraio. A domani, Ilaria Lucardesi e Luigi Forcella - - - - - Dear all, we would like to remind you of the seminar<https://www.dm.unipi.it/en/seminar/?id=65a3e4409ddab435806cdd26> of tomorrow at 5PM, in Aula Riunioni, by Giulia Bevilacqua (UniPi). The seminar will be preceded by a small snack at 4:30PM in the same room. The next seminar will be by Tohru Ozawa (Waseda Univ.) on Friday, February 2nd. See you tomorrow, Ilaria Lucardesi and Luigi Forcella

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Annuncio di seminario: 11 gennaio, Rossano Sannipoli
by Ilaria Lucardesi 17 Jan '24

17 Jan '24

Care tutte, cari tutti, giovedì 11 gennaio alle ore 17:00, in Sala Riunioni, per il seminario di Analisi Matematica, avremo il piacere di ascoltare Rossano Sannipoli (Dipartimento di Matematica, Università di Pisa), che terrà un seminario dal titolo “Some isoperimetric inequality involving the boundary momentum and curvature integrals”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda nella sala caffè del piano terra, dalle ore 16:30. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, On Thursday 11th at 5:00 PM, in "Sala Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Rossano Sannipoli (Math Department, University of Pisa). The title of the talk is “Some isoperimetric inequality involving the boundary momentum and curvature integrals”. Please find below the abstract. The seminar will be preceded by a snack in the coffee room on the ground floor, starting at 4:30 PM. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Title: Some isoperimetric inequality involving the boundary momentum and curvature integrals Abstract: The aim of this talk is twofold. In the first part we deal with a shape optimization problem of a functional involving the boundary momentum. It is known that in dimension two the ball is a maximizer among simply connected sets, when the perimeter and centroid is fixed. In higher dimensions the same result does not hold and we consider a new scaling invariant functional that might be a good candidate to generalize the bidimensional case. For this functional we prove that the ball is a stable maximizer in the class of nearly spherical sets in any dimension. In the second part we focus on a functional involving a weighted curvature integral and the quermassintegrals. We prove upper and lower bounds for this functional in the class of convex sets, which provide a stronger form of the classical Aleksandrov-Fenchel inequality involving the $(n-1)$ and $(n-2)$-quermassintegrals, and consequently a stronger form of the classical isoperimetric inequality in the planar case.

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Seminar by Galeati - A.e. uniqueness for (stochastic) Lagrangian trajectories for Leray solutions to 3D Navier-Stokes
by LUIGI FORCELLA 15 Jan '24

15 Jan '24

Da parte di Mario e degli organizzatori, inoltro l'annuncio di un seminario SPASS del Gruppo di Probabilità che può essere di interesse anche per analisti. Luigi. --------- We would like to invite you to the following SPASS seminar, jointly organized by UniPi, SNS, UniFi and UniSi: A.e. uniqueness for (stochastic) Lagrangian trajectories for Leray solutions to 3D Navier-Stokes by Lucio Galeati (EPFL) The seminar will take place on TUE, 16.01.2024 at 14:00 CET in Aula Seminari, Dipartimento di Matematica, UNIPI and streamed online at the link below. The organizers, A. Agazzi, G. Bet, A. Caraceni, F. Grotto, G. Zanco https://sites.google.com/unipi.it/spass -------------------------------------------- Abstract: We revisit a result due to Robinson and Sadowski (2009), who first showed a.e. uniqueness of Lagrangian trajectories for admissible weak solutions to $3$D Navier-Stokes, for sufficiently regular $u_0$. We give an alternative proof, based on a newly established asymmetric Lusin-Lipschitz property of Leray solutions, exploited crucially in the arguments from Caravenna-Crippa (2021) and Brué-Colombo-De Lellis (2021). This approach is more robust, requiring no assumptions on $u_0$ and being applicable also to the stochastic characteristics of the system. Finally, if $u_0$ is regular (say $u_0\in H^{1/2}$), then we are able to exploit the diffusive behaviour of stochastic trajectories to further prove that, for any fixed $x_0\in\mathbb{R}^d$, path-by-path uniqueness for the SDE $d X_t = u(t,X_t) d t + d B_t, X|t=0 = x_0$.

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Reminder seminario giovedì 11/01 + annuncio seminario mercoledì 24/01
by Ilaria Lucardesi 10 Jan '24

10 Jan '24

Care tutte, cari tutti, vi ricordiamo il seminario<https://www.dm.unipi.it/seminario/?id=65956b978023a1bee8a2279c> di domani alle ore 17 di Rossano Sannipoli (UniPi). Il seminario sarà preceduto da una piccola merenda alle 16:30 nella stessa aula (diversamente da quanto detto nel precedente annuncio). Il prossimo seminario sarà di Giulia Bevilacqua (UniPi) mercoledì 24 gennaio. A domani, Ilaria Lucardesi e Luigi Forcella - - - - - Dear all, we would like to remind you of the seminar<https://www.dm.unipi.it/seminario/?id=65956b978023a1bee8a2279c> tomorrow at 5PM by Rossano Sannipoli (UniPi). The seminar will be preceded by a small snack at 4:30PM in the same room (contrary to what was sayed in the previous announcement). The next seminar will be by Giulia Bevilacqua (UniPi) on Wednesday, January 24th. See you tomorrow, Ilaria Lucardesi and Luigi Forcella

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