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Organizers: Paolo Antonelli, Gabriele Benomio, Yuri Cacchiò, Sara Daneri, Luigi De Rosa, Francesco Paolo Maiale, Pierangelo Marcati, Stefano Modena, Jules Pitcho, Flavio Rossetti, Eris Runa
Location & time: Gran Sasso Science Institute, weekly on Tuesdays, 2:30-3:30pm (map)
Upcoming Seminars: (see also GSSI Academic Calendar)
21 October 2025, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Björn Gebhard (University of Münster)
Title: The Rayleigh-Taylor instability with local energy dissipation
Abstract: We consider the inhomgeneous incompressible Euler equations describing two fluids with different constant densities under the influence of gravity. Initially the fluids are supposed to be at rest and separated by a flat horizontal interface with the heavier fluid being on top of the lighter one. Due to gravity this configuration is unstable, the two fluids begin to mix in a more and more turbulent way. This is one of the most classical instances of the Rayleigh-Taylor instability. In the talk we will see how weak locally dissipative solutions to the Euler equations reflecting a turbulent mixing of the two fluids in a quadratically growing zone can be constructed. If time allows, we will discuss an arising selection problem for the averaged motion of solutions. The core of the talk is based on a joint work with József Kolumbán.
28 October 2025, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Serena Federico (University of Bologna)
Title: Smoothing estimates for third order equations with variable coefficients
Abstract: In this talk, we establish local smoothing estimates for a class of third-order pseudo-differential operators with variable coefficients, which, in particular, includes operators of KdV type. After introducing the main structural properties of these operators, we will outline the key ingredients of the proof, namely Doi’s lemma and suitable energy estimates. We will then present a local well-posedness result that follows from the smoothing effect. This talk is based on joint work with D. Tramontana.
4 November 2025, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Vikram Giri (ETH Zurich)
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11 November 2025, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Matteo Nesi (University of Basel)
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18 November 2025, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Jonas Lührmann (Texas A&M University)
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25 November 2025, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Davide Carazzato (University of Vienna)
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2 December 2025, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Eliot Pacherie (CNRS/CYU)
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9 December 2025, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Roberta Bianchini (CNR/IAC)
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