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

Reminder seminario 22/02
by Ilaria Lucardesi 21 Feb '24

21 Feb '24

Care tutte, cari tutti, vi ricordiamo il seminario <https://www.dm.unipi.it/seminario/?id=65c3c2f791367b5b2ae1a814> di domani alle ore 17, in Aula Riunioni, di Eduard Feireisl (Institute of Mathematics of the Czech Academy of Sciences). Il seminario sarà preceduto da una piccola merenda alle 16:30 nella stessa aula. Segnaliamo anche il <https://cvgmt.sns.it/event/845/> workshop <http://www.velichkov.it/workshop-CVFBP-7.html> Calculus of Variations and Free Boundary Problems VII, che si terrà il 5 marzo, 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/seminario/?id=65c3c2f791367b5b2ae1a814> of tomorrow at 5PM, in Aula Riunioni, by Eduard Feireisl (Institute of Mathematics of the Czech Academy of Sciences). The seminar will be preceded by a small snack at 4:30PM in the same room. We also note that on tuesday March 5th, in Aula Magna, there will be the workshop<http://www.velichkov.it/workshop-CVFBP-7.html> Calculus of Variations and Free Boundary Problems VII. See you tomorrow, Ilaria Lucardesi and Luigi Forcella

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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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