- 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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2025

2024

2023

2022