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

Reminder seminario domani giovedì 31 ottobre
by Ilaria Lucardesi 30 Oct '24

30 Oct '24

Care tutte e cari tutti, Ricordiamo il seminario di domani, giovedì 31 ottobre, alle 17 in Sala Seminari, "Evolution of gaussian fields by the flow of the nonlinear Schrödinger equation" di Nikolay Tzvetkov (École Normale Supérieure de Lyon). Trovate l'abstract qui sotto. Attenzione all'aula, diversa dal solito. A presto, Ilaria Lucardesi e Luigi Forcella. ---------------------------------------------------------- Deal all, We remind you the seminar "Evolution of gaussian fields by the flow of the nonlinear Schrödinger equation" by Nikolay Tzvetkov (École Normale Supérieure de Lyon), tomorrow, thursday 31st october, at 5p.m. in Sala Seminari. Pay attention to the room: it is not the usual one! Please, find the abstract here below. Best wishes, Ilaria Lucardesi e Luigi Forcella. ---------------------------------------------------------- Speaker: Nikolay Tzvetkov (École Normale Supérieure de Lyon) Title: Evolution of gaussian fields by the flow of the nonlinear Schrödinger equation Abstract: We will discuss the non linear Schrödinger equation with data distributed according to gaussian fields. These fields are invariant under the free evolution and the question is how much the non linear interaction affects the invariance property. We will present a recent result, obtained in collaboration with Chenmin Sun, showing that for the three dimensional energy critical problem the law of the solution at any time is absolutely continuous with respect to the law of the initial gaussian field. We are therefore in slightly out of equilibrium regime. It should be emphasized that, thanks to the work by Aizenman and Duminil-Copin, we do not expect to reasonably define a Gibbs measure for an energy critical problem. Therefore the consideration of general gaussian fields becomes even more natural. The main new idea is the use of a cancellation of (probabilistically) resonant contributions in a modified energy estimate. We also rely on several techniques developed in recent years in the field of probabilistic well-posedness of dispersive PDE's. We will overview these ideas and techniques.

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Reminder seminario analisi domani
by Luigi Forcella 16 Oct '24

16 Oct '24

Care tutte e cari tutti, Ricordiamo il seminario<https://www.dm.unipi.it/en/seminar/?id=66e05134ed270fad8e15eaf7> di domani alle 17 in Aula Riunioni “Dynamics of the 3D Navier-Stokes equations from initial data with zero third component” di T. Barker (Bath). Il seminario sarà preceduto da uno snack alle 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella. ---------------------------------------------------------- Deal all, We remind you the seminar<https://www.dm.unipi.it/en/seminar/?id=66e05134ed270fad8e15eaf7> “Dynamics of the 3D Navier-Stokes equations from initial data with zero third component” by T. Barker (Bath), tomorrow at 5p.m. in Aula Riunioni. There will be a snack at 4:45 pm in the same room. Best wishes, Ilaria Lucardesi e 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

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Reminder seminari Analisi oggi e domani
by Luigi Forcella 10 Oct '24

10 Oct '24

Care tutte e cari tutti, Ricordiamo il seminario<https://www.dm.unipi.it/en/seminar/?id=66fe659042845121abe48caf> di oggi alle 17 in Aula Riunioni “A finite element approximation of a simplified model for smart fluids: an error analysis” di A. Kaltenbach (TUB). Ricordiamo inoltre il seminario<https://www.dm.unipi.it/en/seminar/?id=66fe7a4342845121abe491c1> che si terrà domani alle 17 in Aula Riunioni “Alberti representations, rectifiability and regularity of measures satisfying a PDE” di D. Bate (Warwick) La prossima settimana il seminario di Analisi sarà giovedì con speaker T. Barker (Bath). Seguirà annuncio. Ilaria Lucardesi e Luigi Forcella. ————— Deal all, We remind you the seminar “A finite element approximation of a simplified model for smart fluids: an error analysis” by A. Kaltenbach (TUB), today at 5p.m. in Aula Riunioni. We also remind you the seminar “Alberti representations, rectifiability and regularity of measures satisfying a PDE” by D. Bate (Warwick), tomorrow at 5p.m. in Aual Riunioni. The next seminar will be next Thursday, and the speaker will be T. Barker (Bath). We will announce it tomorrow. Best regards, Ilaria Lucardesi e 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

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Annuncio seminari Analisi 9 e 10 ottobre 2024
by Luigi Forcella 03 Oct '24

03 Oct '24

Care tutte, cari tutti, La settimana prossima avremo due eventi per il ciclo dei Seminari di Analisi: • Mercoledì 9 ottobre, ore 17, avremo il piacere di ascoltare Alex Kaltenbach (TUB), che terrà un seminario dal titolo “A finite element approximation of a simplified model for smart fluids: an error analysis" • Giovedì 10 ottobre, ore 17, avremo il piacere di ascoltare David Bate (Warwick), che terrà un seminario dal titolo “Alberti representations, rectifiability and regularity of measures satisfying a PDE”. Trovate sotto gli abstract. Ricordiamo anche che oggi alle 17 in Aula Riunioni ci sarà il seminario di Chiara Boccato (UniPi), preceduto da uno snack nella stessa aula alle 16:45. A presto, Ilaria Lucardesi e Luigi Forcella ____ Dear all, The next week we will have two events for the Mathematical Analysis Seminars: • Wednesday 9 October, 5PM, we will have the pleasure of listening to Alex Kaltenbach (TUB).The title of the talk is “A finite element approximation of a simplified model for smart fluids: an error analysis”. • Thursday 10 October, 5PM, we will have the pleasure of listening to David Bate (Warwick).The title of the talk is “Alberti representations, rectifiability and regularity of measures satisfying a PDE”. Below the abstracts. We remind that today at 5PM there will be the seminar by Chiara Boccato (UniPi) in Aula Riunioni, with a snack in the same room at 4:45 pm. Best regards, Ilaria Lucardesi and Luigi Forcella. ——————— Speaker: Alex Kaltenbach Title: A finite element approximation of a simplified model for smart fluids: an error analysis Abstract: In this talk, a finite element approximation of the steady p(⋅)p(⋅)-Navier-Stokes equations (p(⋅)p(⋅) is variable dependent) is examined for orders of convergence by assuming natural fractional regularity assumptions on the velocity vector field and the kinematic pressure. Numerical experiments confirm the quasi-optimality of the apriori error estimates (for the velocity). The steady p(⋅)p(⋅)-Navier-Stokes equations are a prototypical example of a non-linear system with variable growth conditions. They appear naturally in physical models for so-called smart fluids,e.g., electro-rheological fluids, micro-polar electro-rheological fluids, magneto-rheological fluids, chemically reacting fluids, and thermo-rheological fluids, and have the potential for an application in numerous areas, e.g., in electronic, automobile, heavy machinery, military, and biomedical industry. Speaker: David Bate. Title: Alberti representations, rectifiability and regularity of measures satisfying a PDE Abstract: An Alberti representation of a (finite, Borel) measure is a decomposition into 1-rectifiable measures. By Fubini's theorem, Lebesgue measure on [0,1]^n has n "independent" Alberti representations, each one consisting of curves parallel to a coordinate axis. This naturally extends to representations of n-rectifiable sets in Euclidean space, where the tangents to curves span the approximate tangent space almost everywhere, and can be extended further to rectifiable subsets of a metric space. This talk will consider the converse statement. We will show that, if n-dimensional Hausdorff measure of a metric space X has n independent Alberti representations, then X is n-rectifiable. This result has numerous applications to rectifiability in metric spaces that will be discussed. We will also discuss a key element of the proof on the integrability of measuressatisfying a PDE constraint. This talk is based on joint work with Tuomas Orponen and Julian Weigt. ----------- 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 ----------- 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 giovedì 3 ottobre
by Luigi Forcella 26 Sep '24

26 Sep '24

Care tutte, cari tutti, Siamo felici di comunicare che la prossima settimana inizierà il ciclo di Seminari di Analisi per l’anno accademico 2024-2025. Il primo evento sarà giovedì 3 ottobre alle ore 17:00, in Aula Riunioni, ed avremo il piacere di ascoltare Chiara Boccato (UniPi), che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=66ee7baaed270fad8e17dd09> dal titolo “Spectral properties of the interacting Bose gas”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda dalle ore 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, We are pleased to announce that the Analysis Seminars’ activities for the academic year 2024-2025 will start next week. The first event will take place on Thursday October 3rd at 5PM, in "Aula Riunioni", and we will have the pleasure of listening to Chiara Boccato (UniPi). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=66ee7baaed270fad8e17dd09> is “Spectral properties of the interacting Bose gas”. Please find below the abstract. 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: Chiara Boccato (UniPi) Title: Spectral properties of the interacting Bose gas Abstract: The interacting Bose gas is a system composed of a very large number of quantum particles with totally symmetric wavefunction. Below a critical temperature, a phase transition to a Bose-Einstein condensate is expected to occur, and collective behavior emerges from the underlying many-body theory. While the many-body system is described by the linear Schrödinger equation, the emergent behavior is described in terms of an effective non-linear theory. In this talk I will present results justifying the effective description of the spectrum of the many-body Hamilton operator at zero temperature. I will also discuss extensions to systems at the critical point. This is based on joint works with C. Brennecke, S. Cenatiempo, A. Deuchert R. Seiringer, B. Schlein, and D. Stocker.

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Reminder seminario oggi
by Ilaria Lucardesi 27 Jun '24

27 Jun '24

Care tutte, cari tutti, vi ricordiamo il seminario di oggi: Giuseppe Maria Coclite (Politecnico di Bari<https://www.dm.unipi.it/en/seminar/?id=661cda5a282479bbfbc080af>), ore 17 in Aula Riunioni. Ricordiamo inoltre il seminario MAP<https://seminarimap.wixsite.com/seminarimap/2023-2024-1/umberto-morellini> alle 11 in Aula Seminari. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, we remind you of the seminar of today: Giuseppe Maria Coclite (Politecnico di Bari<https://www.dm.unipi.it/en/seminar/?id=661cda5a282479bbfbc080af>), at 5PM in "Aula Riunioni". We also remind you of the MAP seminar<https://seminarimap.wixsite.com/seminarimap/2023-2024-1/umberto-morellini> at 11AM in "Aula Seminari". See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 27 giugno
by Ilaria Lucardesi 21 Jun '24

21 Jun '24

Care tutte, cari tutti, per il prossimo (e ultimo!) evento del ciclo dei Seminari di Analisi, giovedì 27 giugno alle ore 17, in Aula Riunioni, avremo il piacere di ascoltare Giuseppe Maria Coclite (Politecnico di Bari) che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=661cda5a282479bbfbc080af> dal titolo "Nonlinear Peridynamic Models". Trovate l'abstract qui sotto. Segnaliamo anche il seminario MAP<https://seminarimap.wixsite.com/seminarimap/2023-2024-1/umberto-morellini> di Umberto Morellini (Université Paris Dauphine - PSL), giovedì 27 alle 11 in Aula Seminari. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, on Thursday 27th June at 5PM, in "Aula Riunioni", for the next (and last!) Mathematical Analysis Seminar, we will have the pleasure of listening to Giuseppe Maria Coclite (Politecnico di Bari). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=661cda5a282479bbfbc080af> is "Nonlinear Peridynamic Models". Please find the abstract below. We also note that on the same day, at 11AM in "Aula Seminari", within the MAP Seminars activity, there will be a seminar<https://seminarimap.wixsite.com/seminarimap/2023-2024-1/umberto-morellini> by Umberto Morellini (Université Paris Dauphine - PSL). See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Giuseppe Maria Coclite (Politecnico di Bari) Title: Nonlinear Peridynamic Models Abstract: Some materials may naturally exhibit singularity phenomena such as cracks or other manifestations as a result of scale effects and long range interactions. Peridynamic theory models such behavior introducing a new nonlocal framework for the basic equations of continuum mechanics. In this lecture we consider a nonlinear peridynamic model and discuss its qualitative properties and well-posedness in suitable fractional Sobolev spaces. Those results were obtained in collaboration with A. Coclite (Bari), N. Dimola (Milano), S. Dipierro (Perth), G. Fanizza (Casamassima), L. Lopez (Bari), F. Maddalena (Bari), S. F. Pellegrino (Bari), T. Politi (Bari), and E. Valdinoci (Perth).

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Annuncio seminario 11 giugno (attenzione: eccezionalmente di martedì)
by Ilaria Lucardesi 11 Jun '24

11 Jun '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, martedì 11 giugno alle ore 17, in Aula Riunioni, avremo il piacere di ascoltare Federica Dragoni (University of Cardiff), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=663cbf185b29178e24cd9c85> dal titolo "Semiconcavity of the square distance in Carnot groups". 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 Tuesday 11th June at 5PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Federica Dragoni (University of Cardiff). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=663cbf185b29178e24cd9c85> is "Semiconcavity of the square distance in Carnot groups". 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: Federica Dragoni (University of Cardiff) Title: Semiconcavity of the square distance in Carnot groups Abstract: Semiconcavity and semiconvexity are key regularity properties for functions with many applications in a broad range of mathematical subjects. The notions of semiconcavity and semiconvexity have been adapted to different geometrical contexts, in particular in sub-Riemannian structures such as Carnot groups, where they turn out to be extremely useful for the study of solutions of degenerate PDEs. In this talk I will show that, for a suitable class of Carnot groups, the Carnot-Carathéodory distance is semiconcave, in the sense of the group, in the whole space. I will also give some applications to solutions of non-coercive Hamilton-Jacobi equations. Joint work with Qing Liu and Ye Zhang from OIST (Okinawa, Japan).

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Annuncio seminario 6 giugno
by Ilaria Lucardesi 03 Jun '24

03 Jun '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 6 giugno alle ore 17, in Aula Seminari, avremo il piacere di ascoltare Stefano Spirito (Università degli Studi dell'Aquila), che terrà un seminario <https://www.dm.unipi.it/seminario/?id=66574a1c06f87efa3c1d31d5> <https://www.dm.unipi.it/en/seminar/?id=65bcfb381d2cb321d7db11dd> dal titolo "Finite dimensional approximation of solutions of the 2D incompressible Euler equations". Trovate l'abstract qui sotto. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, on Thursday 6th May at 5PM, in "Aula Seminari", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Stefano Spirito (Università degli Studi dell'Aquila). The title of the talk<https://www.dm.unipi.it/seminario/?id=66574a1c06f87efa3c1d31d5> is "Finite dimensional approximation of solutions of the 2D incompressible Euler equations". Please find the abstract below. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Stefano Spirito (Università degli Studi dell'Aquila) Title: Finite dimensional approximation of solutions of the 2D incompressible Euler equations Abstract: In this talk we consider the approximation of solutions to the 2D Euler equations via a finite dimensional Galerkin methods. In particular, we will focus on the convergence in strong norms of the velocity and the vorticity. We will study the convergence in different regularity settings, including the Yudovich class of weak solutions with bounded vorticity and we provide precise rates of convergence. We compare the results with the analogous ones available for the vanishing viscosity approximation and comment on differences and similarities. The talk is based on joint works with L.C. Berselli (University of Pisa), G. Crippa (University of Basel), and G. Ciampa (University of L'Aquila).

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Reminder seminario domani - 30 maggio
by Luigi Forcella 29 May '24

29 May '24

Care tutte, cari tutti, vi ricordiamo il seminario di domani: Yoshihiro Shibata (Waseda University)<https://www.dm.unipi.it/en/seminar/?id=65bcfb381d2cb321d7db11dd> alle ore 16:30, in Aula Seminari. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, we remind you of the seminar of tomorrow: Yoshihiro Shibata (Waseda University)<https://www.dm.unipi.it/en/seminar/?id=65bcfb381d2cb321d7db11dd> at 4:30PM, Aula Seminari. See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 30 maggio
by Ilaria Lucardesi 25 May '24

25 May '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 30 maggio alle ore 16:30, in Aula Seminari, avremo il piacere di ascoltare Yoshihiro Shibata (Waseda University), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=65bcfb381d2cb321d7db11dd> dal titolo "L_1 maximal regularity for the free boundary problem", basato su questo <https://arxiv.org/abs/2311.04444v2> lavoro. Segnaliamo inoltre, nell'ambito dei Seminari MAP, i seminari di due dottorandi di Paris-Saclay in visita presso il nostro Dipartimento, il giorno 28 maggio: Badreddine <https://www.dm.unipi.it/en/seminar/?id=6647431f2d75e728d75a62cb> e Rouveyrol<https://www.dm.unipi.it/en/seminar/?id=664743ab2d75e728d75a6331>. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, on Thursday 30th May at 4:30PM, in "Aula Seminari", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Yoshihiro Shibata (Waseda University). The title of the talk <https://www.dm.unipi.it/en/seminar/?id=65bcfb381d2cb321d7db11dd> is "L_1 maximal regularity for the free boundary problem", see preprint <https://arxiv.org/abs/2311.04444v2> on Arxiv. We also note that on teusday May 28th, within the MAP Seminars activity, there will be seminars by two visiting PhD students from Paris-Saclay: Badreddine <https://www.dm.unipi.it/en/seminar/?id=6647431f2d75e728d75a62cb> and Rouveyrol<https://www.dm.unipi.it/en/seminar/?id=664743ab2d75e728d75a6331>. See you soon, Ilaria Lucardesi and Luigi Forcella

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Colloquium 23 maggio ore 17.00 - Huisken
by Alessandra Pluda 23 May '24

23 May '24

Cari tutti, facendo seguito al messaggio di Maria Stella e Matteo, ricordo a tutti e tutte che domani giovedì 23 maggio, alle 17.00 in AULA MAGNA, Gerhard Huisken (Universitat Tübingen e MFO) terrà un colloquio sul tema: “Inverse mean curvature flow and geometric inequalities”. Dopo il Colloquio sarà organizzato un aperitivo con lo speaker. Chiedo scusa per i re-invii multipli ma gli iscritti alla lista di analisi che non afferiscono al dipartimento non hanno ricevuto l'informazione. Tanti saluti, Alessandra

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Reminder seminari domani (9 maggio)
by Ilaria Lucardesi 08 May '24

08 May '24

Care tutte, cari tutti, vi ricordiamo il seminario di domani: Annalisa Massaccesi (Università di Padova),<https://www.dm.unipi.it/en/seminar/?id=662981ff25ce23c048c43fb8> alle ore 17 (+ merenda alle 16:45), in Aula Magna. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, we remind you of the seminar of tomorrow: Annalisa Massaccesi (Università di Padova),<https://www.dm.unipi.it/en/seminar/?id=662981ff25ce23c048c43fb8> at 5PM (+ snack at 4:45PM), Aula Magna. See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 9 maggio
by Ilaria Lucardesi 03 May '24

03 May '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 9 maggio alle ore 17:00, in Aula Riunioni, avremo il piacere di ascoltare Annalisa Massaccesi (Università di Padova), che terrà un seminario <https://www.dm.unipi.it/seminario/?id=662981ff25ce23c048c43fb8> <https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> dal titolo “Recent developments on the Besicovitch's 1/2 problem ”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda dalle ore 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, On Thursday May 9th at 5PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Annalisa Massaccesi (Università di Padova). The title of the talk <https://www.dm.unipi.it/seminario/?id=662981ff25ce23c048c43fb8> <https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> <https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> is “Recent developments on the Besicovitch's 1/2 problem ”. Please find below the abstract. 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: Annalisa Massaccesi (Università di Padova) Title: Recent developments on the Besicovitch's 1/2 problem Abstract: The Besicovitch's 1/2 problem problem investigates the smallest threshold 𝜎 guaranteeing rectifiability for a set with Hausdorff 1-dimensional finite measure when the lower density of the set is larger than 𝜎 almost everywhere. Besicovitch conjectured that 𝜎 = 1/2 (hence the name of the problem) and proved 𝜎 ≤ 3/4, then Preiss and Tišer improved the bound to 𝜎≤ (2+\sqrt{46})/12 ∼ 0.73186... In a recent work in collaboration with C. De Lellis, F. Glaudo and D. Vittone, we devised a strategy to improve the bound by means of a hierarchy of variational problems and we reach a proof that 𝜎≤0.7. In this seminar, I will try to explain the fairly intuitive geometric idea behind this strategy and I will try to summarize both the computational obstacles and the intrinsic obstacles that are still in the way.

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Annuncio seminari 29 aprile e 2 maggio
by Ilaria Lucardesi 02 May '24

02 May '24

Care tutte, cari tutti, la prossima settimana avremo due seminari di Analisi: lunedì 29 aprile, alle ore 17:30 (+ merenda post-seminario) in aula seminari, avremo il piacere di ascoltare Luca Lussardi (Polito), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=66013124282479bbfbbaaac1> dal titolo “Nematic soap films”; giovedì 2 maggio, alle ore 17 (+ merenda alle 16:45), in aula riunioni, avremo il piacere di ascoltare Giacomo Del Nin (Max-Planck-Institut, Lipsia), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=662778461ab535c3c8d5fa0c> dai titolo "BMO-type seminorms and local Poincaré constants for BV functions". Trovate qui sotto i due abstract. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, next week, for the Mathematical Analysis Seminar, there will be two seminars: on Monday 29th April at 5:30PM (+ snack after the seminar), in "Aula Seminari", we will have the pleasure of listening to Luca Lussardi (PoliTo). The title of the talk <https://www.dm.unipi.it/en/seminar/?id=66013124282479bbfbbaaac1> <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> <https://www.dm.unipi.it/en/seminar/?id=66013124282479bbfbbaaac1> is "Nematic soap films"; on Thursday 2nd May at 5PM (+ snack at 4:45PM), in "Aula Riunioni", we will have the pleasure of listening to Giacomo Del Nin (Max-Planck-Institut, Leipzig) . The title of the talk<https://www.dm.unipi.it/en/seminar/?id=662778461ab535c3c8d5fa0c> <https://www.dm.unipi.it/en/seminar/?id=6617a944282479bbfbbf84a2> <https://www.dm.unipi.it/en/seminar/?id=662778461ab535c3c8d5fa0c> is "BMO-type seminorms and local Poincaré constants for BV functions". Please find below the abstracts. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Luca Lussardi (PoliTo) Title: Nematic soap films Abstract: Nematic films are thin fluid structures, ideally two dimensional, endowed with an in-plane degenerate nematic order. Some variational models for nematic films have been introduced by Giomi in 2012 and by Napoli and Vergori in 2018. At equilibrium, the shape of the nematic film results from the competition between surface tension, which favors the minimization of the area, and the nematic elasticity, which instead promotes the alignment of the molecules along a common direction. The main difference between the two mentioned approaches is the way to compute the surface derivative of the nematic vector field. In this seminar I will briefly describe the models and I will present some recent analytical results obtained in collaboration with Giulia Bevilacqua, Chiara Lonati and Alfredo Marzocchi. Speaker: Giacomo Del Nin (Max-Planck-Institut, Lipsia) Title: BMO-type seminorms and local Poincaré constants for BV functions Abstract: In 2015 Bourgain, Brezis, and Mironescu introduced a class of BMO-type functionals that measure the oscillation of a function on a family of disjoint ϵ-cubes. These functionals turned out to be related to the total variation of the function, and over the years several authors have addressed the problem of finding an expression for their limit as ϵ goes to zero. Thanks to the work of many, we now know that for SBV functions the limit exists and coincides with 1/2 times the jump variation plus 1/4 times the absolutely continuous variation. However, for BV functions with a non-trivial Cantor part, the limit might not exist. In this talk I will present a natural relaxation of these functionals that enforces the existence of the limit for any BV function. I will show that this limit is related to a quantity that we introduce, the local Poincarè constant of the function, and I will discuss some challenging open questions. This result is based on a project with Adolfo Arroyo-Rabasa (Bonn) and Paolo Bonicatto (Trento).

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Reminder seminario domani (24 aprile)
by Ilaria Lucardesi 23 Apr '24

23 Apr '24

Care tutte, cari tutti, vi ricordiamo il seminario<https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> di domani, mercoledì 24 aprile, alle ore 17 in Aula Riunioni, di Francesca Tripaldi (SNS). Il seminario sarà preceduto da una piccola merenda alle 16:45 nella stessa aula. I prossimi seminari saranno di Luca Lussardi (PoliTO) lunedì 29 e Giacomo Del Nin (Max Planck Institute, Lipsia) giovedì 2 maggio. A domani, Ilaria Lucardesi e Luigi Forcella -------- Dear all, we would like to remind you of the seminar<https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> of tomorrow, April 24th, at 5PM, in Aula Riunioni, by Francesca Tripaldi (SNS). The seminar will be preceded by a small snack at 4:45PM in the same room. The next seminars will be by Luca Lussardi (PoliTO) on Monday April 29th and by Giacomo Del Nin (Max Planck Institute, Leipzig) on Thursday May 2nd. See you tomorrow, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 24 aprile
by Ilaria Lucardesi 20 Apr '24

20 Apr '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, mercoledì 24 aprile alle ore 17:00, in Aula Riunioni, avremo il piacere di ascoltare Francesca Tripaldi (SNS), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> dal titolo “A review of subcomplexes on nilpotent Lie groups”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda dalle ore 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, On Wednesday 24th April at 5PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Francesca Tripladi (SNS). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> <https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> <https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> is “A review of subcomplexes on nilpotent Lie groups”. Please find below the abstract. 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: Francesca Tripladi (SNS) Title: A review of subcomplexes on nilpotent Lie groups Abstract: Carnot groups are stratifiable nilpotent Lie groups equipped with a subRiemannian metric. They are the easiest examples of subRiemannian manifolds. I will give an overview of the properties of the de Rham complex on Carnot groups, and show how such properties give rise to subcomplexes that are better adapted to the noncommutativity of this geometric setting.

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Reminder seminari della settimana
by Ilaria Lucardesi 15 Apr '24

15 Apr '24

Care tutti, cari tutti, vi ricordiamo i tre eventi di questa settimana per il ciclo dei seminari di Analisi: Georgiadis <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> (KAUST) martedì 16 alle 17 in Aula Seminari; D'Avenia <https://www.dm.unipi.it/en/seminar/?id=6602f975282479bbfbbb1f65> (PoliBari) mercoledì 17 alle 17:30 in Aula Seminari; Kausamo <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> (UniFi) giovedì 18 alle 17 + merenda alle 16:45 in Aula Riunioni. A presto, Ilaria Lucardesi e Luigi Forcella ----- Dear all, we remind you of the three events of this week for the Analysis Seminar: Georgiadis <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> (KAUST) tuesday 16th at 5PM in "Aula Seminari"; D'Avenia <https://www.dm.unipi.it/en/seminar/?id=6602f975282479bbfbbb1f65> (PoliBari) wednesday 17th at 5:30PM in "Aula Seminari"; Kausamo <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> (UniFi) thursday 18th at 5PM (+ snack at 4:45PM) in "Aula Riunioni". See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 17 aprile
by Ilaria Lucardesi 12 Apr '24

12 Apr '24

Buongiorno, segnaliamo da parte di Marco Ghimenti il seminario "Between Maxwell and Born–Infeld" che sarà tenuto da Pietro D'Avenia (Politecnico di Bari) il prossimo 17 aprile alle 17:30 in Aula Seminari. Riportiamo qui sotto l'abstract. A presto, Ilaria Lucardesi e Luigi Forcella -------- Speaker: Pietro D'Avenia (Politecnico di Bari) Title: Between Maxwell and Born–Infeld Abstract: We present some recent results on a model of electromagnetic theory obtained from a Lagrangian density Lq, depending on the parameter q. For q = 1, Lq corresponds to the Born–Infeld Lagrangian density and, for q = 2, it restores the Maxwell one.

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Annuncio seminari 16 e 18 aprile
by Ilaria Lucardesi 12 Apr '24

12 Apr '24

Care tutte, cari tutti, la prossima settimana, per il ciclo dei Seminari di Analisi, ci saranno due eventi: martedì 16 aprile, alle ore 17:00 in Aula Seminari, avremo il piacere di ascoltare Stefanos Georgiadis (KAUST), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> dal titolo "Uniqueness of renormalized solutions for the Maxwell-Stefan cross-diffusion system"; giovedì 18 aprile, alle ore 17:00 (+ merenda alle 16:45) in Aula Riunioni, avremo il piacere di ascoltare Anna Kausamo (Università degli Studi di Firenze), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=6617a944282479bbfbbf84a2> dal titolo "The sufficiency of c-cyclical monotonicity for the optimality of transport plans". Trovate qui sotto gli abstract. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, next week, for the Mathematical Analysis Seminar, there will be two seminars: on Tuesday 16th April at 5PM, in "Aula Seminari", we will have the pleasure of listening to Stefanos Georgiadis (KAUST). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=6602fa9a282479bbfbbb1ff6> is "Uniqueness of renormalized solutions for the Maxwell-Stefan cross-diffusion system"; on Thursday 18th April at 5PM (+ snack at 4:45PM), in "Aula Riunioni", we will have the pleasure of listening to Anna Kausamo (Università degli Studi di Firenze). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=6617a944282479bbfbbf84a2> is "The sufficiency of c-cyclical monotonicity for the optimality of transport plans". Please find below the two abstracts. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Stefanos Georgiadis (KAUST) Title: Uniqueness of renormalized solutions for the Maxwell-Stefan cross-diffusion system Abstract: Cross-diffusion systems are strongly coupled parabolic systems describing phenomena in which multiple species diffuse and interact with one another, e.g. in fluid mechanics or population dynamics. Although many methods have been developed to study existence of weak solutions to such systems, uniqueness is in general an open problem. To this degree, we study a particular cross-diffusion system, known as the Maxwell-Stefan system which describes diffusive phenomena in a multicomponent system of gases. We employ renormalized solutions and give conditions under which such solutions are unique. We, then, study the relation between weak and renormalized solutions, allowing us to identify conditions that guarantee uniqueness of weak solutions. The proof is based on an identity for the evolution of the symmetrized relative entropy. Using the method of doubling the variables we derive the identity for two renormalized solutions and use information on the spectrum of the Maxwell-Stefan matrix to estimate the symmetrized relative entropy and show uniqueness. ********** Speaker: Anna Kausamo (Univ. Firenze) Title: The sufficiency of c-cyclical monotonicity for the optimality of transport plans Abstract: c-cyclical monotonicity is the most important optimality condition of a transport plan. In this talk I will present a Gamma-convergence-based strategy, developed by myself and Luigi De Pascale, to prove the sufficiency of cyclical monotonicity for optimality in the multi-marginal $L^\infty$-optimal transport case that had previously been elusive.

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Reminder workshop domani
by Ilaria Lucardesi 10 Apr '24

10 Apr '24

Care tutte, cari tutti, inoltriamo il reminder da parte degli organizzatori Roberto Ognibene, Giorgio Tortone e Bozhidar Velichkov: Domani giovedì 11 alle 15:00 inizierà in Aula Magna il workshop <http://www.velichkov.it/workshop-CVFBP-8.html> “Calculus of Variations and Free Boundary Problems VIII”. La seconda sessione del workshop inizierà venerdì 12 alle 9:30. A presto, Ilaria Lucardesi e Luigi Forcella ---------- Dear all, from Roberto Ognibene, Giorgio Tortone, and Bozhidar Velichkov, we forward the following reminder: Tomorrow Thursday 11th at 3PM will start, in Aula Magna, the workshop<http://www.velichkov.it/workshop-CVFBP-8.html> "Calculus of Variations and Free Boundary Problems VIII". The second session will start on Friday 12th at 9:30AM, in Aula Magna. See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio workshop e reminder seminario (domani)
by Ilaria Lucardesi 03 Apr '24

03 Apr '24

Care tutte, cari tutti, da parte di Roberto Ognibene, Giorgio Tortone e Bozhidar Velichkov inoltriamo l'annuncio del workshop “Calculus of Variations and Free Boundary Problems VIII” che si terrà giovedì 11 e venerdì 12 aprile in Aula Magna. Sito Workshop: http://www.velichkov.it/workshop-CVFBP-8.html Vi ricordiamo inoltre il seminario<https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> di domani, giovedì 4 aprile alle ore 17 in Aula Riunioni (+ merenda alle 16:45) di Andrea Pinamonti (Università degli Studi di Trento). A presto, Ilaria Lucardesi e Luigi Forcella -------------------------------------------- Dear all, from Roberto Ognibene, Giorgio Tortone, and Bozhidar Velichkov, we forward the announcement of the workshop "Calculus of Variations and Free Boundary Problems VIII" which will take place in Aula Magna, next week, from Thursady 11th to Friday 12th. Website: http://www.velichkov.it/workshop-CVFBP-8.html We also remind you the seminar<https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> by Andrea Pinamonti (Università degli Studi di Trento), tomorrow Thursday 4th at 5:00 PM (+ snack at 4:45PM) in "Aula Riunioni". See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 4 aprile
by Ilaria Lucardesi 29 Mar '24

29 Mar '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 4 aprile alle ore 17:00, in Aula Riunioni, avremo il piacere di ascoltare Andrea Pinamonti (Università degli Studi di Trento), che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> dal titolo “Lusin and Whitney theorems in Carnot groups: when geometry meets real analysis”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda dalle ore 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, On Thursday 4th April at 5:00 PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Andrea Pinamonti (Università degli Studi di Trento). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> is “Lusin and Whitney theorems in Carnot groups: when geometry meets real analysis”. Please find below the abstract. 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: Andrea Pinamonti (Università degli Studi di Trento) Title: Lusin and Whitney theorems in Carnot groups: when geometry meets real analysis Abstract: Whitney extension results characterize when one can extend a mapping from a compact subset to a smooth mapping on a larger space. Lusin approximation results give conditions under which one can approximate a rough map by a smoother map after discarding a set of small measure. We first recall relevant results in the Euclidean setting, then describe recent work extending them to horizontal curves in the Heisenberg group.

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Reminder seminario giovedì 21 marzo (domani)
by Ilaria Lucardesi 21 Mar '24

21 Mar '24

Care tutte, cari tutti, vi ricordiamo il seminario <https://www.dm.unipi.it/en/seminar/?id=65c33c9e03b7fb86db3357ff> di domani, giovedì 21, alle ore 17 in Aula Riunioni, di Ihsan Topaloglu (Virginia Commonwealth University). Il seminario sarà preceduto da una piccola merenda alle 16:45 nella stessa aula. Il prossimo seminario sarà di Andrea Pinamonti (Università degli Studi di Trento) giovedì 4 aprile. A domani, Ilaria Lucardesi e Luigi Forcella - - - - - Dear all, we would like to remind you of the seminar<https://www.dm.unipi.it/en/seminar/?id=65c33c9e03b7fb86db3357ff> of <https://www.dm.unipi.it/seminario/?id=65956b978023a1bee8a2279c> <https://www.dm.unipi.it/en/seminar/?id=65c33c9e03b7fb86db3357ff> tomorrow, thursday 21st, at 5PM in "Aula Riunioni", by Ihsan Topaloglu (Virginia Commonwealth University). The seminar will be preceded by a small snack at 4:45PM in the same room. The next seminar will be by Andrea Pinamonti (Università degli Studi di Trento) on Thursday, April 4th. See you tomorrow, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 21 marzo e reminder seminario 14 marzo
by Ilaria Lucardesi 13 Mar '24

13 Mar '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 21 marzo alle ore 17:00, in Aula Riunioni, avremo il piacere di ascoltare Ihsan Topaloglu (Virginia Commonwealth University), che terrà un seminario dal titolo “A Variational model involving nonlocal interactions of Wasserstein type”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda dalle ore 16:30 nella stessa aula. Vi ricordiamo inoltre il seminario<https://www.dm.unipi.it/en/seminar/?id=65de51cbed68b6f4c9ae4cd5> di domani giovedì 14 marzo alle 17 in Aula Riunioni (+ merenda alle 16:30) di Liangjun Weng (UniPi). A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, On Thursday 21st March at 5:00 PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Ihsan Topaloglu (Virginia Commonwealth University). The title of the talk is “A Variational model involving nonlocal interactions of Wasserstein type”. Please find below the abstract. The seminar will be preceded by a snack in the same room, starting at 4:30 PM. We also remind you the seminar <https://www.dm.unipi.it/en/seminar/?id=65de51cbed68b6f4c9ae4cd5> by Liangjun Weng (UniPi), tomorrow Thursday 14th at 5:00 PM (+ snack at 4:30PM) in "Aula Riunioni". See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Ihsan Topaloglu (Virginia Commonwealth University) Title: A Variational model involving nonlocal interactions of Wasserstein type Abstract: In this talk I will consider a variational problem which appears in models of bilayer membranes. After introducing and deriving the model I will establish the existence of volume-constrained minimizers where the energy functional consists of two competing terms: a surface energy term penalizing transitions between sets and a nonlocal energy involving the Wasserstein distance between equal volume sets. In the second part of the talk I will consider the maximization of the minimum Wasserstein distance between two given sets, and show that this maximum is obtained by a micella. These results are drawn from joint works with Almut Burchard, Davide Carazzato, Michael Novack, and Raghavendra Venkatraman.

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