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

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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Annuncio 2 seminari martedì 4 marzo
by Luigi Forcella 28 Feb '25

28 Feb '25

Care tutte, cari tutti, Segnaliamo due seminari di Analisi martedì 4 Marzo, in Aula Seminari: Ore 17h30: Eduard Feireisl (Institute of Mathematics of the Czech Academy of Sciences) terrà un talk dal titolo "On the motion of compressible fluids driven by temperature gradient”. Trovate l’abstract al seguente link<https://www.dm.unipi.it/en/seminar/?id=67bc311c20d73a92fb78e0f5>. Ore 18h00: Ondrej Kreml (Institute of Mathematics of the Czech Academy of Sciences) terrà un talk dal titolo “Time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams”. Trovate l’abstract al seguente link<https://www.dm.unipi.it/en/seminar/?id=67bc31bb20d73a92fb78e14a>. Ricordiamo che nello stesso giorno, e nella stessa aula, si terranno i seminati del workshop Dispersive Equations of Math Physics.<https://www.dm.unipi.it/en/conference/?id=67ab4019762f5b32f7b562e1> A presto, Ilaria e Luigi ———————————————————— Dear all, We announce 2 Analysis seminars on Tuesday, 4 March, in Aula Riunioni: 5:30 pm: Eduard Feireisl (Institute of Mathematics of the Czech Academy of Sciences) will give a talk with title "On the motion of compressible fluids driven by temperature gradient”. You can find the abstract at this link<https://www.dm.unipi.it/en/seminar/?id=67bc311c20d73a92fb78e0f5>. 6:00 pm: Ondrej Kreml (Institute of Mathematics of the Czech Academy of Sciences) ) will give a talk with title “Time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams”. You can find the abstract at this link<https://www.dm.unipi.it/en/seminar/?id=67bc31bb20d73a92fb78e14a>. We also remind you that in the same day, same room there will be also the seminars of the workshop Dispersive Equations of Math Physics.<https://www.dm.unipi.it/en/conference/?id=67ab4019762f5b32f7b562e1> Best regards, Ilaria and Luigi

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Reminder seminario oggi
by Ilaria Lucardesi 27 Feb '25

27 Feb '25

Care tutte, cari tutti, vi ricordiamo il seminario<https://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a> di oggi pomeriggio alle 17 in Aula Magna di Giorgio Tortone (Università di Pisa). A più tardi, Ilaria Lucardesi e Luigi Forcella ----------------------------------- Dear all, we remind you of the seminar<https://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a> of today at 5PM in Aula Magna by Giorgio Tortone (Università di Pisa). See you later, Ilaria Lucardesi and Luigi Forcella

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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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