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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)
24 March 2026, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Sam Krupa (ENS Paris)
Title: Are $L^\infty$ solutions to hyperbolic systems of conservation laws unique?
Abstract: For hyperbolic systems of conservation laws in 1-D, fundamental questions about uniqueness and blow up of weak solutions still remain even for the apparently “simple” systems of two conserved quantities such as isentropic Euler and the p-system. Similarly, in the multi-dimensional case, a longstanding open question has been the uniqueness of weak solutions with initial data corresponding to the compressible vortex sheet. We address all of these questions by using the lens of convex integration, a general method of constructing highly irregular and non-unique solutions to PDEs. Our proofs involve computer-assistance. This talk is based on joint work with László Székelyhidi, Jr.
26 March 2026, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Christof Sparber (University of Illinois at Chicago)
Title: Nonlinear bound states with prescribed angular momentum
Abstract: We prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrödinger equations with super-quadratic confinement in two and three spatial dimensions. These solutions are given by time-dependent rotations of a non-radially symmetric spatial profile which in itself is obtained via a doubly constrained energy minimization. One of the two constraints imposed is the total mass, while the other is given by the expectation value of the angular momentum around the z-axis. Our approach also allows for a new description of the set of minimizers subject to only a single mass constraint. This is joint work with I. Nenciu and X. Shen.
8 April 2026, 4:00-5:00pm, GSSI Main Lecture Hall
Speaker: Rossella Giorgio (TU Wien)
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14 April 2026, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Elias Döhrer (TU Chemnitz)
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5 May 2026, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Léo Bigorgne (University of Rennes)
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12 May 2026, 2:30-3:30pm, GSSI Conference Room (Ex-INPS, Floor -1)
Speaker: Keefer Rowan (EPFL)
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19 May 2026, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Daniele Valtorta (University of Milan-Bicocca)
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