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

Annuncio 2 mini-workshop
by Luigi Forcella 26 Feb '25

26 Feb '25

Care tutte, cari tutti, Segnaliamo due mini-workshop che si terranno la settimana prossima: Lunedì 3 - Mercoledì 5: Dispersive Equations in Math Physics, che si terrà in Aula Seminari (per dettagli su schedule e abstract consultare il link http://people.dm.unipi.it/~georgiev/convegni/Pisa25/PISA_2025_2_Dispersive.…) Giovedì 6 - Venerdì 7: New trends in elliptic PDEs: remembering Sergio Campanato, che si terrà in Aula Magna (per dettagli su schedule e abstract consultare il link https://www.dm.unipi.it/wp-content/uploads/2025/02/Programma-New-Trends-in-…) A presto, Ilaria e Luigi ——— Dear all, The next week there will be two mini-workshops: Monday 3 - Wednesday 5: Dispersive Equations in Math Physics, in Aula Seminari (for details on schedule and abstracts please visit the link http://people.dm.unipi.it/~georgiev/convegni/Pisa25/PISA_2025_2_Dispersive.…) Thursday 6 - Friday 7: New trends in elliptic PDEs: remembering Sergio Campanato, in Aula Magna (for details on schedule and abstracts please visit the link https://www.dm.unipi.it/wp-content/uploads/2025/02/Programma-New-Trends-in-…) Best regards Ilaria and Luigi ----------- Luigi Forcella, Assistant Professor (RTD-B, tenure-track) University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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Reminder seminario oggi - Filomena De Filippis
by Ilaria Lucardesi 23 Jan '25

23 Jan '25

Care tutte, cari tutti, vi ricordiamo il seminario <https://www.dm.unipi.it/seminario/?id=66fbfdc342845121abe433d5> di oggi con speaker Filomena De Filippis (Università di Parma), alle 17 in Aula Magna. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, we remind you of the seminar <https://www.dm.unipi.it/seminario/?id=66fbfdc342845121abe433d5> of today by Filomena De Filippis (Università di Parma), at 5PM in Aula Magna. See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 23 gennaio + reminder seminario oggi
by Ilaria Lucardesi 16 Jan '25

16 Jan '25

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 23 gennaio alle 17 in Aula Magna, avremo il piacere di ascoltare Filomena De Filippis (Università di Parma), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=66fbfdc342845121abe433d5> dal titolo “μ-ellipticity and nonautonomous integrals”. Trovate l'abstract qui sotto. Vi ricordiamo inoltre il seminario <https://www.dm.unipi.it/seminario/?id=67795b9a9ac406d089fa0d30> di oggi pomeriggio alle 17 in Aula Magna di Stefano Modena (Gran Sasso Science Institute). A presto, Ilaria Lucardesi e Luigi Forcella ----------------------------------- Dear all, on Thursday January 23rd at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Filomena De Filippis (Università di Parma). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=66fbfdc342845121abe433d5> is "μ-ellipticity and nonautonomous integrals". Please find the abstract below. We reminkd you of the talk<https://www.dm.unipi.it/seminario/?id=67795b9a9ac406d089fa0d30> of today at 5PM in Aula Magna, by Stefano Modena (Gran Sasso Science Institute). See you soon, Ilaria Lucardesi and Luigi Forcella ----------------------------------- Speaker: Filomena De Filippis (Università di Parma) Title: μ-ellipticity and nonautonomous integrals Abstract: µ-ellipticity describes certain degenerate forms of ellipticity typical of convex integrals at linear or nearly linear growth, such as the area integral or the iterated logarithmic model. The regularity of solutions to autonomous or totally differentiable problems is classical after Bombieri, De Giorgi and Miranda, Ladyzhenskaya and Ural’tseva and Frehse and Seregin. The anisotropic case is a later achievement of Bildhauer, Fuchs and Mingione, Beck and Schmidt and Gmeineder and Kristensen. However, all the approaches developed so far break down in presence of nondifferentiable ingredients. In particular, Schauder theory for certain significant anisotropic, nonautonomous functionals with Hölder continuous coefficients was only recently obtained by C. De Filippis and Mingione. We will see the validity of Schauder theory for anisotropic problems whose growth is arbitrarily close to linear within the maximal nonuniformity range, and discuss sharp results and insights on more general nonautonomous area type integrals. From recent, joint work with Cristiana De Filippis (Parma) and Mirco Piccinini (Pisa).

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Annuncio seminario di Analisi 28-11-2024
by Luigi Forcella 13 Jan '25

13 Jan '25

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, il 28 Novembre 2024 alle ore 17, in Aula Riunioni, avremo il piacere di ascoltare Michele Gorini (UniPi), che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=6735d0bcf7cb29212bdb98b2> dal titolo “Convex integration and non-unique solutions in fluid dynamics”. Trovate l'abstract qui sotto. A presto, Ilaria Lucardesi e Luigi Forcella ———————————————————— Dear all, on Thursday 28 November 2024 at 5PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Michele Gorini (UniPi). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=6735d0bcf7cb29212bdb98b2> is "Convex integration and non-unique solutions in fluid dynamics". Please find the abstract below. See you soon, Ilaria Lucardesi and Luigi Forcella ———————— Speaker: Michele Gorini Title: Convex integration and non-unique solutions in fluid dynamics Abstract: Convex integration is a powerful technique often used to prove existence and non-uniqueness of solutions to PDE systems. In this talk, after introducing the Euler and Navier-Stokes systems of fluid dynamics and the technique itself, we discuss recent results about the fractional Navier-Stokes equations obtained by convex integration. ----------- Luigi Forcella, Assistant Professor (RTD-B, tenure-track) University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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Worskshop VaReg
by Ilaria Lucardesi 04 Jan '25

04 Jan '25

Care tutte, cari tutti, segnaliamo da parte degli organizzatori Roberto Ognibene, Giorgio Tortone, Bozhidar Velichkov, l'evento "Calculus of Variations and Free Boundary Problems X". Il workshop si terrà nei giorni giovedì 9 gennaio (pomeriggio) e venerdì 10 gennaio (mattina), presso l'Aula Magna del Dipartimento. Per info: http://www.velichkov.it/workshop-CVFBP-10.html. Il ciclo di seminari di Analisi riprenderà giovedì 16, con il seminario di Stefano Modena (GSSI). Seguiranno dettagli. A presto, Ilaria Lucardesi e Luigi Forcella ------- Dear all, from the organisers Roberto Ognibene, Giorgio Tortone, Bozhidar Velichkov, we forward the announcement of the event "Calculus of Variations and Free Boundary Problems X". The workshop will take place on Thursday January 9th (afternoon) and Friday January 10th (morning), in the Aula Magna of the Department of Mathematic. For info: http://www.velichkov.it/workshop-CVFBP-10.html. We announce that for the next Analysis Seminar, on Thursday January 16th, the speaker will be Stefano Modena (GSSI). Details will follow. See you soon, Ilaria Lucardesi and Luigi Forcella

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Reminder seminari
by Luigi Forcella 09 Dec '24

09 Dec '24

Care tutte, cari tutti, vi ricordiamo il seminario di domani 10 Dicembre: "Recent Advances Concerning the Navier-Stokes and Euler Equations" (Edriss Titi, Cambridge), ore 15 in Aula Magna. Ricordiamo inoltre i seguenti altri eventi: * Oggi, ore 16: "Is dispersion a stabilizing or destabilizing mechanism? Landau-damping induced by fast background flows” (Edriss Titi, Cambridge), in Aula Dini (Palazzo del Castelletto - SNS) * Martedì, ore 16: Workshop on geometric and regularity aspects of hypoelliptic PDEs, in Aula Magna * Mercoledì, ore 15: “Mathematics of Turbulent Flows: A Million Dollar Problem!” (Edriss Titi, Cambridge), SNS Annunciamo che il prossimo seminario di Analisi ci sarà giovedì 19 Dicembre, ed avremo come speaker Francesco Maggi (UT Austin). Seguiranno informazioni. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, we remind you of the seminar of tomorrow, 10 December: "Recent Advances Concerning the Navier-Stokes and Euler Equations" (Edriss Titi, Cambridge) at 3 PM in Aula Magna. We also remind you of the following events: * Today, 4 PM: "Is dispersion a stabilizing or destabilizing mechanism? Landau-damping induced by fast background flows” (Edriss Titi), in Aula Dini (Palazzo del Castelletto - SNS) * Tuesday, 4 PM: Workshop on geometric and regularity aspects of hypoelliptic PDEs, in Aula Magna * Wednesday, 3 PM: “Mathematics of Turbulent Flows: A Million Dollar Problem!” (Edriss Titi), SNS We announce that for the next Analysis Seminar, on Thursday 19 December, the speaker will be Francesco Maggi (UT Austin). Details will follow. Best regards, Ilaria Lucardesi and Luigi Forcella

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Seminari 9-11 Dicembre Prof. Edriss Titi
by Luigi Forcella 06 Dec '24

06 Dec '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, martedì 10 dicembre alle ore 15, in Aula Magna, avremo il piacere di ascoltare Edriss Titi (Cambridge), che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=6745ed3a047fd213275218bc> dal titolo "Recent Advances Concerning the Navier-Stokes and Euler Equations". Trovate l'abstract qui sotto. Approfittiamo per ricordare che il Professor Titi terrà anche i seguenti seminari presso la SNS: * Lunedì 9, ore 16 in Aula Dini (Palazzo del Castelletto) ci sarà il Colloquio De Giorgi, con una lecture dal titolo "Is dispersion a stabilizing or destabilizing mechanism? Landau-damping induced by fast background flows”. Trovate qui<http://www.crm.sns.it/course/7064/> l’abstract. * Mercoledì 11, ore 15, ci sarà il Seminari della Classe di Scienze, e terrà un talk non tecnico aperto ad un pubblico (anche) non specialistico dal titolo “Mathematics of Turbulent Flows: A Million Dollar Problem!" A presto, Ilaria Lucardesi e Luigi Forcella ———————————————————— Dear all, on Tuesday 10 December at 3 PM, in "Aula Magna", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Edriss Titi (Cambridge). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=6745ed3a047fd213275218bc> is "Recent Advances Concerning the Navier-Stokes and Euler Equations". Please find the abstract below. We inform you that Professor Titi will give also the following talk at the SNS: * Monday, 9 December at 4 PM, there will be the Colloquio De Giorgi. The title of the lecture is "Is dispersion a stabilizing or destabilizing mechanism? Landau-damping induced by fast background flows”. Please find here<http://www.crm.sns.it/course/7064/> the abstract. * Wednesday 11 December at 3 PM, there will be the non-technical lecture (Seminari della Classe di Scienze) “Mathematics of Turbulent Flows: A Million Dollar Problem!”, addressed to a general science audience. See you soon, Ilaria Lucardesi and Luigi Forcella —————— Speaker: Edriss S. Titi (DAMPT, Cambridge University) Title: Recent Advances Concerning the Navier-Stokes and Euler Equations Abstract: In this talk we will discuss some recent progress concerning the Navier-Stokes and Euler equations of incompressible fluid. In particular, issues concerning the lack of uniqueness using the convex integration machinery and their physical relevance. Moreover, we will show the universality of the critical 1/3 H"older exponent, conjectured by Onsager for the preservation of energy in Euler equations, by extending the Onsager conjecture for the preservation of generalized entropy in general conservation laws. In addition, we will present a blow-up criterion for the 3D Euler equations based on a class of inviscid regularization for these equations and the effect of physical boundaries on the potential formation of singularity. ----------- Luigi Forcella, Assistant Professor (RTD-B, tenure-track) University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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(Another) Seminar on Thursday 21 November
by Luigi Forcella 19 Nov '24

19 Nov '24

Care tutte, cari tutti, Vi inoltro l’annuncio del seminario<https://www.dm.unipi.it/en/seminar/?id=67371e1ef7cb29212bdbcc38> dal titolo “Asymptotic expansions with optimal convergent rates for the convection-diffusion equation" con speaker Ryunosuke Kusaba (Waseda University & Università di Pisa). Trovate l'abstract qui sotto. Il talk si terrà in Aula Seminari (Dipartimento di Matematica) alle ore 17:30 di giovedì 21 Novembre. A presto, Luigi Forcella ———————————————————— Dear all, I forward you the announcement of the seminar<https://www.dm.unipi.it/en/seminar/?id=67371e1ef7cb29212bdbcc38> “Asymptotic expansions with optimal convergent rates for the convection-diffusion equation” by Ryunosuke Kusaba (Waseda University & University of Pisa). Please find the abstract below. The event will be in Aula Seminari (Dept. of Mathematics) at 5:30 PM on Thursday 21 November. Best regards, Luigi Forcella _________ Title: Asymptotic expansions with optimal convergent rates for the convection-diffusion equation Speaker: Ryunosuke Kusaba Abstract: We consider the large-time asymptotic behavior of global solutions to the convection-diffusion equation. We improve the convergent rate of the remainder for the second order asymptotic expansion established by Zuazua (1993). We also prove the optimality and non-optimality of the convergent rate by utilizing the self-similar structure of the asymptotic profile. ---------- Luigi Forcella, Assistant Professor (RTD-B, tenure-track) University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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Reminder seminario domani 19 novembre
by Ilaria Lucardesi 18 Nov '24

18 Nov '24

Care tutte, cari tutti, vi ricordiamo il seminario<https://www.dm.unipi.it/en/seminar/?id=671cac4062fb414b8902f121> di domani con speaker Andrea Giorgini (Politecnico di Milano), alle 17 in Sala Riunioni. Vi ricordiamo anche il workshop<https://www.dm.unipi.it/en/conference/?id=6735e5bbf7cb29212bdb9f1e> "Calculus of Variations and Free Boundary Problems IX", 20-21 novembre, in Aula Magna. Il seminario successivo sarà giovedì 28/11 con speaker Michele Gorini (Università di Pisa). Seguiranno dettagli. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, we remind you of the seminar<https://www.dm.unipi.it/en/seminar/?id=671cac4062fb414b8902f121> of tomorrow by Andrea Giorgini (Politecnico di Milano), at 5PM in Sala Riunioni. We also remind you of the workshop<https://www.dm.unipi.it/en/conference/?id=6735e5bbf7cb29212bdb9f1e> "Calculus of Variations and Free Boundary Problems IX", november 20-21, in Aula Magna. The following seminar will be on Thursday 28/11, and the speaker will be Michele Gorini (Università di Pisa). Details will be communicated soon. Best regards, Ilaria Lucardesi and Luigi Forcella

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Reminder seminario domani + annuncio attività prossima settimana
by Ilaria Lucardesi 13 Nov '24

13 Nov '24

Care tutte, cari tutti, vi ricordiamo il seminario<https://www.dm.unipi.it/seminario/?id=67167b868b848ab729814b11> di domani, giovedì 14 novembre, di Bohdan Bulanyi (Università di Bologna), alle ore 17, in Aula Magna. Annunciamo inoltre due eventi per la prossima settimana: - martedì 19 novembre alle ore 17 in Aula Riunioni, per il ciclo dei Seminari di Analisi, avremo il piacere di ascoltare Andrea Giorgini (Politecnico di Milano), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=671cac4062fb414b8902f121> dal titolo "New results for the Cahn-Hilliard equation with non-degenerate mobility". Trovate qui sotto l'abstract. - segnaliamo, da parte degli organizzatori Giulia Bevilacqua, Matteo Carducci, Bozhidar Velichkov, il workshop<http://www.velichkov.it/workshop-CVFBP-9.html> "Calculus of Variations and Free Boundary Problems IX", che si terrà i giorni mercoledì 20 e giovedì 21 novembre in Aula Magna. A presto, Ilaria Lucardesi e Luigi Forcella ----- Dear all, we remind you of the seminar<https://www.dm.unipi.it/seminario/?id=67167b868b848ab729814b11> of tomorrow, Thursday November 14th, by Bohdan Bulanyi (Università di Bologna), at 5PM in Aula Magna. For the next week, we announce two events: * on Tuesday November 19th at 5PM in Aula Riunioni, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Andrea Giorgini (Politecnico di Milano). The title of the talk<https://www.dm.unipi.it/seminario/?id=671cac4062fb414b8902f121> is "New results for the Cahn-Hilliard equation with non-degenerate mobility". Please find the abstract below. * from the organisers Giulia Bevilacqua, Matteo Carducci, Bozhidar Velichkov, we forward the announcement of the workshop<http://www.velichkov.it/workshop-CVFBP-9.html> "Calculus of Variations and Free Boundary Problems IX", which will take place on Wednesday 20th and Thursday 21st, in Aula Magna. See you soon, Ilaria Lucardesi and Luigi Forcella ----- Speaker: Andrea Giorgini (Politecnico di Milano) Title: New results for the Cahn-Hilliard equation with non-degenerate mobility Abstract: The Cahn-Hilliard equation is a well-known macroscopic model for phase separation phenomena, with significant applications across engineering and biology. While considerable progress has been made over the past few decades in understanding the well-posedness and long-term behavior of the solutions to the Cahn-Hilliard equation in the constant-mobility case, the analysis in the case of concentration-dependent mobility remains relatively unexplored. In this talk, I will present some recent results on the Cahn-Hilliard equation with non-degenerate mobility and logarithmic potential in two dimensions. These results improve the state of the art dating back to the work by Barrett and Blowey in 1999. This is a joint work with Monica Conti (Politecnico di Milano), Stefania Gatti and Pietro Galimberti (Università di Modena e Reggio Emilia).

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