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

(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

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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

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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).

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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.

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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

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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).

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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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