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

Annuncio seminario Analisi - giovedì 09 ottobre
by Luigi Forcella 02 Oct '25

02 Oct '25

Care tutte, cari tutti, Con la presente si annuncia il seguente seminario di Analisi: GIOVEDì 09 OTTOBRE 2025, ore 16 in AULA RIUNIONI del Dipartimento, avremo il piacere di ascoltare ALICE MARVEGGIO (U. BONN), che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=68c02f248ecc6e0c5ede7ca8> dal titolo "The Verigin problem with phase transition as gradient flow". Trovate l'abstract qui sotto. A presto, Luigi ————————————————— Dear all, We announce the following Analysis seminar: on THURSDAY 09 OCTOBER 2025, 4pm in AULA RIUNIONI of the Dept. of Math., we will have the pleasure of listening to ALICE MARVEGGIO (U. BONN). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=68c02f248ecc6e0c5ede7ca8> is "The Verigin problem with phase transition as gradient flow". Please find the abstract below. Best regards, Luigi Speaker: Alice Marveggio (Bonn) Title: The Verigin problem with phase transition as gradient flow Abstract: We study the modeling of a compressible two-phase flow in a porous medium. The governing PDE system is known as the Verigin problem with phase transition, which is the compressible analog to the Muskat problem. Our aim is to prove the convergence of an implicit time discretization scheme using the Wasserstein distance, obtaining distributional solutions in the limit that satisfy an optimal energy-dissipation rate. This talk is based on a joint work with Anna Kubin and Tim Laux.

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Seminar by Michele Coti Zelati (Imperial)
by Luigi Forcella 18 Sep '25

18 Sep '25

Dear all, I forward the following announcement from the Probability research group, which is interesting also for people working in Math Analysis in general. Info below. The seminar<https://www.dm.unipi.it/en/seminar/?id=68c88256fc368dd2a765119c> will take place on THURSDAY, 25.09.2025 at 09:00 CEST in Aula N1, Polo Fibonacci, UNIPI and streamed online at this link: https://meet.google.com/gji-phwo-vbg Best regards, Luigi Speaker: Michele Coti Zelati (Imperial College London) Title: Alpha-unstable flows and the fast dynamo problem Abstract: The fast dynamo problem concerns the generation and maintenance of magnetic fields by fluid motion through the process of electromagnetic induction. In passive vector advection, this can be formulated as the exponential growth of the magnetic energy, at a resistivity-independent rate. In this talk, I will provide a construction of a Lipschitz, divergence-free and time-independent velocity field that is a fast dynamo on the whole space.

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Seminario venerdì 23 maggio - Dorin Bucur
by Luigi Forcella 20 May '25

20 May '25

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, venerdì 23 Maggio alle ore 16 in Aula Riunioni, avremo il piacere di ascoltare Dorin Bucur (Université de Savoie Mont Blanc), che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=67ee42f620d73a92fb7ed141> dal titolo “On polygonal nonlocal isoperimetric inequalities: Hardy-Littlewood, Riesz, Faber-Krahn”. Trovate l'abstract qui sotto. A presto, Luigi Forcella ————————————————— Dear all, on Friday May 23rd at 4PM in Aula Riunioni, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Dorin Bucur (Université de Savoie Mont Blanc). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=67ee42f620d73a92fb7ed141> is “On polygonal nonlocal isoperimetric inequalities: Hardy-Littlewood, Riesz, Faber-Krahn". Please find the abstract below. See you soon, Luigi Forcella ----------------------------------- Speaker: Dorin Bucur (Université de Savoie Mont Blanc) Title: On polygonal nonlocal isoperimetric inequalities: Hardy-Littlewood, Riesz, Faber-Krahn Abstract: The starting point is the Faber-Krahn inequality on the first eigenvalue of the Dirichlet Laplacian. Many refinements were obtained in the last years, mainly due to the use of recent techniques based on the analysis of vectorial free boundary problems. It turns out that the polygonal version of this inequality, very easy to state, is extremely hard to prove and remains open since 1947, when it was conjectured by Polya. I will connect this question to somehow easier problems, like polygonal versions of Hardy-Littlewood and Riesz inequalities and I will discuss the local minimality of regular polygons and the possibility to prove the conjecture by a mixed approach. This talk is based on joint works with Beniamin Bogosel and Ilaria Fragalà. ----------- 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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Annuncio conferenza 22 maggio - "An afternoon in Calculus of Variations"
by Luigi Forcella 15 May '25

15 May '25

Care tutte, cari tutti, Con la presente si annuncia la seguente conferenza: giovedì 22 maggio, in Aula Riunioni del Dipartimento di Matematica, si terrà la Conferenza “An afternoon in Calculus of Variations”. L’evento inizierà alle 15:30 e avrà come speakers Serena Dipierro (Perth), Raphäel Prunier (Paris), e Antonio Tribuzio (Bonn). Trovate dettagli a questo link<https://www.dm.unipi.it/en/conference/?id=681cbfab1dc7a56c4185b0f1>. Si allega la locandina. A presto, Luigi Forcella ————— Dear all, We announce the following conference: On Thursday, 22 of May, room Aula Riunioni (Dept. Math), we will have the pleasure to host the event “An afternoon in Calculus of Variations”. The conference will start at 3:30 pm, and as speakers we will have Serena Dipierro (Perth), Raphäel Prunier (Paris), and Antonio Tribuzio (Bonn). Details can be found at this link<https://www.dm.unipi.it/en/conference/?id=681cbfab1dc7a56c4185b0f1>. Attached, the flyer of the event. Best regards, Luigi Forcella

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I: Seminario MAP di questa settimana
by Nicola Picenni 13 May '25

13 May '25

Cari tutti, su richiesta degli organizzatori, inoltro l'annuncio di un seminario di Matilde Gianocca, che si terrà domani mattina alle 11.30 presso il collegio Puteano. Trovate titolo e abstract nel poster allegato o qui: https://cvgmt.sns.it/seminar/937/ Saluti, Nicola

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Annuncio seminario F. Pasqualotto
by Luigi Forcella 01 Apr '25

01 Apr '25

Care tutte, cari tutti, Segnaliamo il seguente seminario nell’ambito dei Seminari di Probabilità che può essere di interesse anche per analisti in generale. Venerdì 4 aprile, ore 14, in Aula Seminari Federico Pasqualotto (Berkeley) terrà un talk<https://www.dm.unipi.it/en/seminar/?id=67e9d94020d73a92fb7e241e> dal titolo “The singularity formation problem in incompressible fluid dynamics”. Trovate l’abstract qui sotto. A presto, Ilaria e Luigi ——— Dear all, We announce the following talk within the activities of the Probability Seminars, which can be of interest for a more general audience. Friday 4 of April, 2:00 PM, in Aula Seminari Federico Pasqualotto (Berkeley) will give a talk<https://www.dm.unipi.it/en/seminar/?id=67e9d94020d73a92fb7e241e> with title “The singularity formation problem in incompressible fluid dynamics”. Please find the abstract below. Best regards, Ilaria and Luigi. ——— Speaker: Federico Pasqualotto (Berkeley) Title: The singularity formation problem in incompressible fluid dynamics Abstract: We will introduce the singularity formation problem in incompressible fluid dynamics, with a focus on the Navier—Stokes equations and the 3d incompressible Euler equations. We will discuss model problems of increasing complexity, and we will comment on recent results, with an emphasis on the use of computer-assisted techniques. We will finally provide an overview of the first swirl-driven singularity formation result for the 3d incompressible Euler equations in the whole space, obtained in collaboration with Tarek Elgindi (Duke University).

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Seminario fisica matematica 21 marzo
by Luigi Forcella 18 Mar '25

18 Mar '25

Care tutte, cari tutti, Segnaliamo il seguente seminario nell’ambito delle attività del gruppo di Fisica Matematica, che si terrà Venerdì 21 Marzo, ore 14:30, in aula seminari: Speaker: Joachim Kerner (University of Hagen) Titolo: Atypical spectral and transport properties of non-locally finite crystals (and maybe more). Trovate l’abstract qui sotto. Cordiali saluti, Luigi e Ilaria. ———— Dear all, We announce the following Mathematical Physics seminar on Friday 21, 2:30 pm, in Aula Seminari: Speaker: Joachim Kerner (University of Hagen) Title: Atypical spectral and transport properties of non-locally finite crystals (and maybe more). Please find the abstract below. Best regards, Luigi and Ilaria ——— Speaker: Joachim Kerner (University of Hagen) Title: Atypical spectral and transport properties of non-locally finite crystals (and maybe more). Abstract: In the first part of the talk we discuss recent results on Schrödinger operators on periodic graphs which are non-standard in the sense that we allow vertices to have an infinite number of neighbours. It turns out that such non-locally finite graphs exhibit various phenomena which are absent in the locally finite setting: and this is true from a spectral as well as transport point of view. Using some explicit examples, we shall illustrate such new effects in more detail. Quite surprisingly, it turns out that one of the examples provides us with a negative answer to a question raised by Damanik et al. in a recent paper on ballistic transport (this part of talk is based on joint work with O. Post, M. Sabri, and M. Täufer). If time allows, we shall also quickly discuss spectral comparison results on discrete graphs. In recent years, various authors have derived such comparison results on Euclidean domains and quantum graphs. Our aim is to present a generalization to the discrete setting. Along the way, we also establish a so-called local Weyl law which is of independent interest (the second part of the talk is based on joint work with P. Bifulco and C. Rose). ----------- 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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Annuncio seminario 20 marzo
by Ilaria Lucardesi 15 Mar '25

15 Mar '25

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 20 marzo alle 17 in Aula Magna, avremo il piacere di ascoltare Roberto Ognibene (Università di Pisa), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=67ce9e1d20d73a92fb7b20f7> dal titolo "Regularity and singularities in optimal partition problems". Trovate l'abstract qui sotto. Dopo il seminario non scappate! Roberto porterà dei pasticcini per salutarci. A presto, Ilaria Lucardesi e Luigi Forcella ----------------------------------- Dear all, on Thursday March 20th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Roberto Ognibene (Università di Pisa). The title of the talk<https://www.dm.unipi.it/seminario/?id=67ce9e1d20d73a92fb7b20f7> is "Regularity and singularities in optimal partition problems". Please find the abstract below. After the seminar, don't run away! Roberto will bring some pastries to say goodbye. See you soon, Ilaria Lucardesi and Luigi Forcella ----------------------------------- Speaker: Roberto Ognibene (Università di Pisa) Title: Regularity and singularities in optimal partition problems Abstract: In this talk, we discuss regularity properties of minimal segregated configurations, defined as vector valued functions with the property that, for each point in the domain, at most one component is non-zero, and that minimize the corresponding Dirichlet energy. We first introduce the topic, emphasizing the connections with shape optimization problems (optimal partitions) and harmonic maps with values into singular spaces. Then, we introduce the notion of free boundary, we review some known results about its regularity and geometrical structure (mainly focusing on the seminal works by Gromov-Schoen, Conti-Terracini-Verzini and Caffarelli-Lin) and we finally describe recent results obtained in collaboration with B. Velichkov.

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Reminder seminari
by Ilaria Lucardesi 12 Mar '25

12 Mar '25

Care tutte, cari tutti, vi ricordiamo i seminari di questa settimana: - oggi (mercoledì) alle 17 in Aula Seminari, Alan Chang<https://www.dm.unipi.it/en/seminar/?id=67cddfa820d73a92fb7b0f47> (Washington University in St. Louis) - domani (giovedì) alle 17 in Aula Magna, Marco Michetti<https://www.dm.unipi.it/en/seminar/?id=679b71433e96782493b4eb49> (Sapienza Università di Roma). Vi anticipiamo che la prossima settimana, giovedì 20 marzo, avremo come speaker Roberto Ognibene (Università di Pisa). Seguiranno dettagli. A presto, Ilaria Lucardesi e Luigi Forcella ------- Dear all, we remind you of the seminars of this week: - today (wednesday) at 5PM in Aula Seminari, Alan Chang<https://www.dm.unipi.it/en/seminar/?id=67cddfa820d73a92fb7b0f47> (Washington University in St. Louis) - tomorrow (thursday) at 5PM in Aula Magna, Marco Michetti<https://www.dm.unipi.it/en/seminar/?id=679b71433e96782493b4eb49> (Sapienza Università di Roma). Next week, on Thursday March 20th, the seminar will be by Roberto Ognibene (Università di Pisa). Details will follow. See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 20 febbraio
by Ilaria Lucardesi 09 Mar '25

09 Mar '25

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 20 febbraio alle 17 in Aula Magna, avremo il piacere di ascoltare Raoní Cabral Ponciano (UFABC, Brasile), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=67b3633c762f5b32f7b655a2> dal titolo "Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces”. Trovate l'abstract qui sotto. Il seminario<https://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a> successivo sarà giovedì 27, con oratore Giorgio Tortone (UniPi). Seguiranno dettagli. A presto, Ilaria Lucardesi e Luigi Forcella ----------------------------------- Dear all, on Thursday February 20th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Raoní Cabral Ponciano (UFABC, Brazil). The title of the talk<https://www.dm.unipi.it/seminario/?id=67b3633c762f5b32f7b655a2> is "Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces". Please find the abstract below. The following seminar<https://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a> will be on thursday 27th, with speaker Giorgio Tortone (UniPi). Details will follow. See you soon, Ilaria Lucardesi and Luigi Forcella ----------------------------------- Speaker: Raoní Cabral Ponciano (UFABC, Brazil) Title: Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces Abstract: Embedding theorems for symmetric functions without any boundary conditions have been studied on flat Riemannian manifolds, such as the Euclidean space. However, these theorems have only been established on hyperbolic spaces for functions with homogeneous Dirichlet conditions. In this presentation, we focus on sharp Sobolev and Adams–Trudinger–Moser embeddings for radial functions in hyperbolic spaces, considering both bounded and unbounded domains. One of the main features of our approach is that we do not assume any boundary conditions for symmetric functions on geodesic balls or the entire hyperbolic space. Our main results establish weighted Sobolev embedding theorems and present Adams-Trudinger-Moser type of embedding theorems. In particular, a key result is a highly nontrivial comparison between norms of the higher-order covariant derivatives and higher-order derivatives of the radial functions. Higher-order asymptotic behavior of radial functions on hyperbolic spaces is established to prove our main theorems. This approach includes novel radial lemmas and decay properties of higher-order radial Sobolev functions defined in hyperbolic space.

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