Notiziario September 2024

notiziario@lists.dm.unipi.it

2 participants
5 discussions

Ultime dal Dipartimento di Matematica
by Dipartimento di Matematica - Unipi 20 Sep '24

20 Sep '24

Prossimi seminari [The Sequential Quadratic Hamiltonian Method - Alfio Borzi](https://www.dm.unipi.it/seminario/?id=66954955acb221551f0b368f) Data: 2024-09-27 - ore: 14:00 - 14:44 - luogo: Saletta Riunioni Prossime conferenze a Pisa [NumPI day](https://www.dm.unipi.it/en/conference/?id=66e9ba55ed270fad8e175cb1) Date: 2024-09-23 — 2024-09-23 - luogo: Aula Magna (Department of Mathematics) Ultime notizie [5 incarichi di attività integrative di tutorato (Fondo Sostegno Giovani – a.a. 2024-2025, I semestre e annuali)](https://www.dm.unipi.it/5-incarichi-di-attivita-integrative-di-tutorato-fondo-sostegno-giovani-a-a-2024-2025-i-semestre-e-annuali/) Pubblicato il 18 Settembre 2024 - in [Bandi](https://www.dm.unipi.it/category/bandi/), [Collaborazioni studentesche](https://www.dm.unipi.it/category/bandi/collaborazioni-studentesche/) [Riapertura Bando Erasmus KA131 2024](https://www.dm.unipi.it/riapertura-bando-erasmus-ka131-2024/) Pubblicato il 17 Settembre 2024 - in [Internazionalizzazione](https://www.dm.unipi.it/category/internazionalizzazione/), [News](https://www.dm.unipi.it/category/news/)

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Ultime dal Dipartimento di Matematica
by Dipartimento di Matematica - Unipi 13 Sep '24

13 Sep '24

Prossimi seminari [Spectrahedral Shadows and Completely Positive Maps on Real Closed Fields - Manuel Bodirsky](https://www.dm.unipi.it/seminario/?id=66e2fadfed270fad8e165c99) Data: 2024-09-19 - ore: 11:00 - 12:00 - luogo: Aula Seminari (Department of Mathematics) Prossime conferenze a Pisa Ultime notizie [Maria Colombo vince il Premio Internazionale “Guido Stampacchia”](https://www.dm.unipi.it/maria-colombo-vince-il-premio-internazionale-guido-stampacchia/) Pubblicato il 2 Settembre 2024 - in [News](https://www.dm.unipi.it/category/news/)

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Reminder colloquio Klas Modin
by Dario Trevisan 11 Sep '24

11 Sep '24

Cari colleghi, vi ricordo che *domani giovedì 12 Settembre, ore 18:00, in Aula Magna**, *si terrà il seguente colloquio del Dipartimento di Matematica. Il colloquio è aperto a tutti e sarà preceduto come da consueto da un rinfresco a partire dalle ore 17:30. Siete tutti invitati a partecipare. Speaker: *Klas Modin* (University of Gothenburg) Title: *Statistical mechanics, 2-D fluids, and structure-preserving numerics* Abstract: In a 1949 paper, the Norwegian American genius Lars Onsager demonstrated that Boltzmann’s theory of statistical mechanics provides insights to the long-time behavior of 2-D fluids described by Euler's equations. The key notion is to “approximate” the fluid by a finite number of interacting point vortices. Since these are governed by Hamiltonian dynamics, the framework of statistical mechanics provides a characterization of the long-time asymptotic behavior. The approach successfully predicts clustering of equally signed vortices, which is part of Onsager’s legacy. Nevertheless, and as Onsager proclaimed in his paper, the point vortex approximation is highly non-regular and might therefore be poor. Furthermore, statistical mechanics assumes ergodicity, which fails for 2-D Euler. In this talk, I will present another finite-dimensional approximation of 2-D Euler due to Vladimir Zeitlin. Unlike point vortices, Zeitlin’s model gives smooth approximations. It thereby renders a refinement of Onsager’s statistical approach, and, together with a symplectic numerical time-integration scheme, provides a structure preserving numerical method. Simulations using this method suggest compelling connections between 2-D Euler and integrability of low-dimensional Hamiltonian systems with symmetry. The work is joint with Milo Viviani. Saluti, Dario Trevisan

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Ultime dal Dipartimento di Matematica
by Dipartimento di Matematica - Unipi 06 Sep '24

06 Sep '24

Prossimi seminari [Nonlinear Feedback Control via Dynamical Low-Rank Approximation - Maria Strazzullo](https://www.dm.unipi.it/seminario/?id=66d8c3dfed270fad8e153962) Data: 2024-09-09 - ore: 15:30 - 16:30 - luogo: Aula Riunioni (Department of Mathematics) [Statistical mechanics, 2-D fluids, and structure-preserving numerics - Klas Modin](https://www.dm.unipi.it/seminario/?id=66903a6f90aa782ad1d41fe6) Data: 2024-09-12 - ore: 18:00 - 19:00 - luogo: Aula Magna (Department of Mathematics) Prossime conferenze a Pisa [A Pisan workshop in Geometric Analysis](https://www.dm.unipi.it/en/conference/?id=66b50b3993930f9f6473eb8e) Date: 2024-09-05 — 2024-09-07 - luogo: Aula Magna (Department of Mathematics) [Pisa-Freiburg school in Applied Analysis](https://www.dm.unipi.it/en/conference/?id=668275a039cf57c129b7b6b3) Date: 2024-09-09 — 2024-09-13 - luogo: Aula Magna (Department of Mathematics) [Mathematics of Machine Learning](https://www.dm.unipi.it/en/conference/?id=6641dad3b370b355eab24689) Date: 2024-09-09 — 2024-09-13 - luogo: [Nonlinearity, Complexity and Foundations in Mathematics](https://www.dm.unipi.it/en/conference/?id=663b54fc1556939a406aa423) Date: 2024-09-11 — 2024-09-13 - luogo: Aula Dini (Centro De Giorgi, SNS) Ultime notizie [Maria Colombo vince il Premio Internazionale “Guido Stampacchia”](https://www.dm.unipi.it/maria-colombo-vince-il-premio-internazionale-guido-stampacchia/) Pubblicato il 2 Settembre 2024 - in [News](https://www.dm.unipi.it/category/news/)

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Colloquio di Dipartimento - Klas Modin
by Dario Trevisan 04 Sep '24

04 Sep '24

Cari colleghi, vi annuncio che *giovedì 12 Settembre, ore 18:00, in Aula Magna***si terrà il seguente colloquio del Dipartimento di Matematica. Speaker: *Klas Modin* (University of Gothenburg) Title: *Statistical mechanics, 2-D fluids, and structure-preserving numerics* Abstract: In a 1949 paper, the Norwegian American genius Lars Onsager demonstrated that Boltzmann’s theory of statistical mechanics provides insights to the long-time behavior of 2-D fluids described by Euler's equations. The key notion is to “approximate” the fluid by a finite number of interacting point vortices. Since these are governed by Hamiltonian dynamics, the framework of statistical mechanics provides a characterization of the long-time asymptotic behavior. The approach successfully predicts clustering of equally signed vortices, which is part of Onsager’s legacy. Nevertheless, and as Onsager proclaimed in his paper, the point vortex approximation is highly non-regular and might therefore be poor. Furthermore, statistical mechanics assumes ergodicity, which fails for 2-D Euler. In this talk, I will present another finite-dimensional approximation of 2-D Euler due to Vladimir Zeitlin. Unlike point vortices, Zeitlin’s model gives smooth approximations. It thereby renders a refinement of Onsager’s statistical approach, and, together with a symplectic numerical time-integration scheme, provides a structure preserving numerical method. Simulations using this method suggest compelling connections between 2-D Euler and integrability of low-dimensional Hamiltonian systems with symmetry. The work is joint with Milo Viviani. Il colloquio sarà preceduto come da consueto da un rinfresco a partire dalle ore 17:30. Siete tutti invitati a partecipare. Saluti, Dario Trevisan -- Dipartimento di Matematica Universita di Pisa Largo Bruno Pontecorvo 5 56127 Pisa PI Italy http://people.dm.unipi.it/trevisan

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