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

Annuncio seminario "SPASS" - Leonardo Tolomeo
by LUIGI FORCELLA 16 Feb '24

16 Feb '24

Care tutte e cari tutti, segnalo, anche da parte di Mario, il seminario "Transport of Gaussian measures under the flow of Hamiltonian PDEs: quasi-invariance and singularity" che sarà tenuto da Leonardo Tolomeo (Univ. of Edinburgh) martedì prossimo 20 Febbraio alle ore 14 in Aula Seminari. Il seminario è tra le attività SPASS, ma credo possa interessare anche gli analisti. Il link dell'evento è il seguente: https://www.dm.unipi.it/en/seminar/?id=65ccf769e7bee0277813b9eb Riporto per comodità anche l'abstract qui in basso. Luigi -------- Speaker: Leonardo Tolomeo (University of Edinburgh) Title: Transport of Gaussian measures under the flow of Hamiltonian PDEs: quasi-invariance and singularity Abstract: In this talk, we consider the Cauchy problem for the fractional NLS with cubic nonlinearity (FNLS), posed on the one-dimensional torus T, subject to initial data distributed according to a family of Gaussian measures. We first discuss how the flow of Hamiltonian equations transports these Gaussian measures. When the transported measure is absolutely continuous with respect to the initial measure, we say that the initial measure is quasi-invariant. In the high-dispersion regime, we exploit quasi-invariance to build a (unique) global flow for initial data with negative regularity, in a regime that cannot be replicated by the deterministic (pathwise) theory. In the 0-dispersion regime, we discuss the limits of this approach, and exhibit a sharp transition from quasi-invariance to singularity, depending on the regularity of the initial measure. This is based on joint works with J. Forlano (UCLA/University of Edinburgh) and with J. Coe (University of Edinburgh).

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Annuncio seminario 22 Febbraio Prof. Feireisl (Czech Academy of Sciences)
by LUIGI FORCELLA 15 Feb '24

15 Feb '24

Care tutte, cari tutti, giovedì 22 Febbraio alle ore 17:00, in Sala Riunioni, per il seminario di Analisi Matematica, avremo il piacere di ascoltare Eduard Feireisl (Institute of Mathematics of the Czech Academy of Sciences), che terrà un seminario dal titolo “Unconditional stability of equilibria in thermally driven compressible fluids”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda nella stessa aula, dalle ore 16:30. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, On Thursday 22nd, February at 5:00 PM, in "Sala Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Eduard Feireisl (Institute of Mathematics of the Czech Academy of Sciences). The title of the talk is “Unconditional stability of equilibria in thermally driven compressible fluids”. Please find below the abstract. The seminar will be preceded by a snack in the same room, starting at 4:30 PM. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Title: Unconditional stability of equilibria in thermally driven compressible fluids Abstract: We show that small perturbations of the spatially homogeneous equilibrium of a thermally driven compressible viscous fluid are globally stable. Specifically, any weak solution of the evolutionary Navier–Stokes–Fourier system driven by thermal convection converges to an equilibrium as time goes to infinity. The main difficulty to overcome is the fact the problem does not admit any obvious Lyapunov function. The result applies, in particular, to the Rayleigh–Benard convection problem. Joint work with Yong Lu, Nanjing.

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Reminder seminario mercoledì 07/02
by Ilaria Lucardesi 06 Feb '24

06 Feb '24

Care tutte, cari tutti, vi ricordiamo il seminario <https://www.dm.unipi.it/en/seminar/?id=65b175d5db141d7c8d3877e2> di domani alle ore 17, in Aula Riunioni, di Alex Kaltenbach (TU, Berlin). Il seminario sarà preceduto da una piccola merenda alle 16:30 nella stessa aula. Segnaliamo anche la conferenza <https://www.dm.unipi.it/en/conference/?id=65a804b93eea0b9ac2b7a9b3> "A three-day Dispersive Meeting in Pisa", che inizierà giovedì, in Aula Magna. 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=65b175d5db141d7c8d3877e2> of tomorrow at 5PM, in Aula Riunioni, by Alex Kaltenbach (TU, Berlin). The seminar will be preceded by a small snack at 4:30PM in the same room. We also note that on thursday, in Aula Magna, will start the conference <https://www.dm.unipi.it/en/conference/?id=65a804b93eea0b9ac2b7a9b3> "A three-day Dispersive Meeting in Pisa". See you tomorrow, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 7 febbraio e reminder seminario 2 febbraio (domani)
by LUIGI FORCELLA 01 Feb '24

01 Feb '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, mercoledì 7 febbraio alle ore 17:00, in Aula Riunioni, avremo il piacere di ascoltare Alex Kaltenbach (TU, Berlin), che terrà un seminario dal titolo “Pseudo-monotone operator theory for electro-rheological fluids”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda dalle ore 16:30 nella stessa aula. Vi ricordiamo inoltre il seminario di domani 2 febbraio alle 17:00 in Sala Seminari di Tohru Ozawa (Waseda, Tokyo). A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, On Wednesday 7th February at 5:00 PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Alex Kaltenbach (TU, Berlin). The title of the talk is “Pseudo-monotone operator theory for electro-rheological fluids”. Please find below the abstract. The seminar will be preceded by a snack in the same room, starting at 4:30 PM. We also remind you the seminar by Tohru Ozawa (Waseda, Tokyo), tomorrow at 5:00 PM in "Aula Seminari". See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: A. Kaltenbach. Title: Pseudo-monotone operator theory for electro-rheological fluids. Abstract: We consider a model describing the unsteady motion of an incompressible, electro-rheological fluid. Due to the time-space-dependence of the power-law index, the analytical treatment of this system is involved. Standard results like a Poincare or a Korn inequality are not available. Introducing natural energy spaces, we establish the validity of a formula of integration-by-parts which allows to extend the classical theory of pseudo-monotone operators to the framework of variable Bochner-Lebesgue spaces. This leads to generalised notions of pseudo-monotonicity and coercivity, the so-called Bochner pseudo-monotonicity and Bochner coercivity. With the aid of these notions and the established formula of integration-by-parts it is possible to prove an abstract existence result which immediately implies the weak solvability of the model describing the unsteady motion of an incompressible, electro-rheological fluid.

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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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seminario Francesco Nobili - 13 dicembre ore 14:15
by Alessandra Pluda 11 Dec '23

11 Dec '23

Cari tutti, sono lieta di annunciarvi il seminario di Francesco Nobili (che ha da poco iniziato un PostDoc presso il nostro Dipartimento!) mercoledì 13 dicembre, ore 14:15, aula Seminari. Attenzione: l'orario è un po' strano per evitare di sovrapporci con il colloquio di dipartimento. Titolo: Stability of Sobolev inequalities on Riemannian manifolds with Ricci curvature lower bounds. Abstract: The problem of stability of the Sobolev inequality in the Euclidean space asks how a function achieving almost equality is close to the family of extremals. This question has received a lot of attention in recent years and is now well understood. On the other hand, in the setting of Riemannian manifolds, very few is known except in specific cases. In this seminar, we show that almost extremal functions for the sharp Sobolev inequality on Riemannian manifolds with non-negative Ricci curvature and Euclidean volume growth are close to radial profiles of Euclidean extremals. An analogous result is established under positive Ricci lower bounds in comparison with radial profiles of extremals of the round sphere. Our arguments rely on rigidity properties of Sobolev inequalities and a generalized version of Lions’ concentration compactness in non-smooth settings. Based on joint works with I. Y. Violo. https://www.dm.unipi.it/seminario/?id=6576dc2ed0301798be4ede4c

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2024

2023

2022