Care tutte, cari tutti,
mercoledì 24 gennaio alle ore 17:00, in Sala Riunioni, per il seminario di Analisi Matematica, avremo il piacere di ascoltare Giulia Bevilacqua (Dipartimento di Matematica, Università di Pisa), che terrà un seminario dal titolo “A capillarity approach for the regularity of soap films”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda, nella stessa aula, dalle ore 16:30.
Il seminario successivo sarà di Tohru Ozawa (Weseda University) venerdì 2 febbraio alle 17.
A presto, Ilaria Lucardesi e Luigi Forcella
---------------------------------------------
Dear all, On Wednesday 24th at 5:00 PM, in "Sala Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Giulia Bevilacqua (Math Department, University of Pisa). The title of the talk is “ A capillarity approach for the regularity of soap films”. Please find below the abstract. The seminar will be preceded by a snack in the same room, starting at 4:30 PM.
The next seminar will be by Tohru Ozawa (Weseda University) on Friday February 2nd at 5PM.
See you soon, Ilaria Lucardesi and Luigi Forcella
--------------------------------------------- Title: A capillarity approach for the regularity of soap films
Abstract: We characterize boundary regularity for a specific variational soap film model. Inspired by [1], soap films are chosen to be sets of finite perimeter containing a fixed volume and satisfying a topological spanning condition. In this talk [2], for a planar curve as the midline of the tubular neighborhood, we show that minimizers are normal smooth graphs with constant mean curvature constructed over the plane and forming on the tubular neighborhood a contact angle equal to $\pi/2$. This is a joint work with Salvatore Stuvard (UNIMI) and Bozhidar Velichkov (UNIPI).
References: [1] D. King, F. Maggi, S. Stuvard: Plateau’s problem as a singular limit of capillarity problems, Communications on Pure and Applied Mathematics, 75:5 2022, pp. 895-969. [2] G. Bevilacqua, S. Stuvard, B. Velichkov: Regularity of a free-boundary Plateau problem, in preparation.