- 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.

1 0

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.

1 0

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

1 0

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

1 0

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

1 0

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).

1 0

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

1 0

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.

1 0

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

1 0

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.

2 3

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

1 0

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

1 0

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

1 0

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

1 0

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).

1 0

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

2 2

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

1 0

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

1 0

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

1 0

(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

1 0

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

1 0

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).

1 0

Annuncio seminario 14 novembre
by Ilaria Lucardesi 11 Nov '24

11 Nov '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 14 novembre alle ore 17, in Aula Magna, avremo il piacere di ascoltare Bohdan Bulanyi (Università di Bologna), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=66d8284224a587d54c10bbbb> dal titolo "Limiting behavior of minimizing $p$-harmonic maps in 3d as $p$ goes to $2$ with finite fundamental group". Trovate l'abstract qui sotto. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, on Thursday November 14th at 5PM, in "Aula Magna", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Bohdan Bulanyi (Università di Bologna). The title of the talk is "Limiting behavior of minimizing $p$-harmonic maps in 3d as $p$ goes to $2$ with finite fundamental group". Please find the abstract below. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Bohdan Bulanyi (Università di Bologna) Title: Limiting behavior of minimizing $p$-harmonic maps in 3d as $p$ goes to $2$ with finite fundamental group. Abstract: The presentation will focus on some new results concerning the limiting behavior of minimizing $p$-harmonic maps from a bounded Lipschitz domain $\Omega \subset \mathbb{R}^{3}$ to a compact connected Riemannian manifold without boundary and with finite fundamental group as $p \nearrow 2$. We prove that there exists a closed set $S_{*}$ of finite length such that minimizing $p$-harmonic maps converge to a locally minimizing harmonic map in $\Omega \setminus S_{*}$. We prove that locally inside $\Omega$ the singular set $S_{*}$ is a finite union of straight line segments, and it minimizes the mass in the appropriate class of admissible chains. Furthermore, we establish local and global estimates for the limiting singular harmonic map. Under additional assumptions, we prove that globally in $\overline{\Omega}$ the set $S_{*}$ is a finite union of straight line segments, and it minimizes the mass in the appropriate class of admissible chains, which is defined by a given boundary datum and $\Omega$. In this talk, I will try to give an overview of these results. This is a joint work with Jean Van Schaftingen and Benoît Van Vaerenbergh.

1 0

Reminder seminario Analisi domani 7 Novembre
by Luigi Forcella 06 Nov '24

06 Nov '24

Care tutte, cari tutti, vi ricordiamo il seminario<https://www.dm.unipi.it/en/seminar/?id=66d8284224a587d54c10bbbb> di domani con speaker Simone Cito (Università del Salento), ore 17 in Aula Magna. Il seminario sarà preceduto da una merenda nella stessa aula alle 16:45. Il prossimo seminario sarà giovedì 14/11 con speaker Bohdan Bulanyi (Università di Bologna). 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=66d8284224a587d54c10bbbb> of tomorrow by Simone Cito (Università del Salento), at 5PM in Aula Magna. The seminar will be preceded by a snack in the same room, starting at 4:45 PM. The next seminar will be on Thursday 14/11, and the speaker will be Bohdan Bulanyi (Università di Bologna). Details will be communicated soon. Best regards, Ilaria Lucardesi and Luigi Forcella ----------- 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

1 0

Annuncio seminario 7 novembre
by Ilaria Lucardesi 01 Nov '24

01 Nov '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 7 novembre alle ore 17, in Aula Riunioni, avremo il piacere di ascoltare Simone Cito (Università del Salento), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=66d8284224a587d54c10bbbb> dal titolo "A stability result for the first Robin-Neumann eigenvalue with negative boundary parameter: a double perturbation approach". Trovate l'abstract qui sotto. Il seminario sarà preceduto da una merenda alle 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, on Thursday November 7th at 5PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Simone Cito (Università del Salento). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=66d8284224a587d54c10bbbb> is "A stability result for the first Robin-Neumann eigenvalue with negative boundary parameter: a double perturbation approach". Please find the abstract below. The seminar will be preceded by a snack in the same room, starting at 4:45 PM. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Simone Cito (Università del Salento) Title: A stability result for the first Robin-Neumann eigenvalue with negative boundary parameter: a double perturbation approach Abstract: Let $\Omega=\Omega_0\setminus\overline{\Theta}\subset\R^n$ ($n\ge 2$) such that $\Omega_0$ is open and convex and $\Theta$ is a finite union of open sets homeomorphic to balls. We consider the eigenvalue problem for the Laplace operator associated to $\Omega$, with Robin boundary condition with parameter $\beta<0$ on $\partial \Omega_0$ and Neumann boundary condition on $\partial \Theta$. In 2020, G. Paoli, G. Piscitelli and L. Trani proved that the spherical shell is the only maximizer for the first Robin-Neumann eigenvalue in the class of domains $\Omega$ with fixed volume and outer perimeter. In this seminar we present the quantitative version of the afore-mentioned isoperimetric inequality and recall some previous stability results involving the Robin condition with negative boundary parameter. The main novelty when dealing with sets of the type $\Omega=\Omega_0\setminus \overline{\Theta}$ consists in the introduction of a new type of hybrid asymmetry, that takes into account the different boundary conditions on $\partial\Omega_0$ and $\partial \Theta$. Up to our knowledge, in this context, this is the first stability result in which \emph{both} the outer and the inner boundary are perturbed. The talk is based on some results obtained in collaboration with D.A. La Manna (Università degli Studi di Napoli Federico II), G. Paoli (Università degli Studi di Napoli Federico II) and G. Piscitelli (Università degli Studi di Napoli Parthenope).

1 0