Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, il 28 Novembre 2024 alle ore 17, in Aula Riunioni, avremo il piacere di ascoltare Michele Gorini (UniPi), che terrà un seminariohttps://www.dm.unipi.it/en/seminar/?id=6735d0bcf7cb29212bdb98b2 dal titolo “Convex integration and non-unique solutions in fluid dynamics”. Trovate l'abstract qui sotto.
A presto, Ilaria Lucardesi e Luigi Forcella
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Dear all, on Thursday 28 November 2024 at 5PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Michele Gorini (UniPi). The title of the talkhttps://www.dm.unipi.it/en/seminar/?id=6735d0bcf7cb29212bdb98b2 is "Convex integration and non-unique solutions in fluid dynamics". Please find the abstract below.
See you soon, Ilaria Lucardesi and Luigi Forcella
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Speaker: Michele Gorini
Title: Convex integration and non-unique solutions in fluid dynamics
Abstract: Convex integration is a powerful technique often used to prove existence and non-uniqueness of solutions to PDE systems. In this talk, after introducing the Euler and Navier-Stokes systems of fluid dynamics and the technique itself, we discuss recent results about the fractional Navier-Stokes equations obtained by convex integration.
----------- Luigi Forcella, Assistant Professor (RTD-B, tenure-track) University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy
Care tutte, cari tutti,
per il prossimo (e ultimo dell'anno!) evento del ciclo dei Seminari di Analisi, il 19 dicembre alle 17:15 in Aula Magna, avremo il piacere di ascoltare Francesco Maggi (University of Texas at Austin), che terrà un seminariohttps://www.dm.unipi.it/en/seminar/?id=6744deebe5722d7805e9c4bf dal titolo “Asymptotic behavior of a diffused interface volume-preserving mean curvature flow”. Trovate l'abstract qui sotto.
Attenzione all'orario inusuale!
A presto, Ilaria Lucardesi e Luigi Forcella
----------------------------------- Dear all, on Thursday December 19th at 5:15PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Francesco Maggi (University of Texas at Austin). The title of the talkhttps://www.dm.unipi.it/en/seminar/?id=6744deebe5722d7805e9c4bf is "Asymptotic behavior of a diffused interface volume-preserving mean curvature floW". Please find the abstract below.
See you soon, Ilaria Lucardesi and Luigi Forcella
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Speaker: Francesco Maggi (University of Texas at Austin)
Title: Asymptotic behavior of a diffused interface volume-preserving mean curvature flow
Abstract: We consider a diffused interface version of the volume-preserving mean curvature flow in the Euclidean space, and prove, in every dimension and under natural assumptions on the initial datum, exponential convergence towards single "diffused balls". This is a joint work with Matteo Bonforte (UA Madrid) and Daniel Restrepo (Johns Hopkins University).
Care tutte, cari tutti,
per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 16 gennaio alle 17 in Aula Magna, avremo il piacere di ascoltare Stefano Modena (Gran Sasso Science Institute), che terrà un seminario https://www.dm.unipi.it/seminario/?id=67795b9a9ac406d089fa0d30 dal titolo “Non-uniqueness and energy dissipation for 2D Euler equations with vorticity in Hardy spaces”. Trovate l'abstract qui sotto.
Il seminario successivo sarà giovedì 23, con oratrice Filomena De Filippis (Università di Parma). Seguiranno dettagli.
A presto, Ilaria Lucardesi e Luigi Forcella
----------------------------------- Dear all, on Thursday January16th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Stefano Modena (Gran Sasso Science Institute). The title of the talk https://www.dm.unipi.it/seminario/?id=67795b9a9ac406d089fa0d30 is "Non-uniqueness and energy dissipation for 2D Euler equations with vorticity in Hardy spaces". Please find the abstract below.
The following seminar will be on Thursday 23rd, with speaker Filomena De Filippis (Università di Parma). See you soon, Ilaria Lucardesi and Luigi Forcella
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Speaker: Stefano Modena (Gran Sasso Science Institute)
Title: Non-uniqueness and energy dissipation for 2D Euler equations with vorticity in Hardy spaces
Abstract: We show by convex integration that uniqueness of solutions to the 2D incompressible Euler equations fails in the class of admissible (i.e. energy dissipating), compactly supported, $L^\infty_t L^2_x$ velocity fields having vorticity in the real Hardy space $H^p(\mathbb R^2)$, for any $p \in (0,1)$.
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