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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)
3 March 2026, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Óscar Domínguez (CUNEF University)
Title: Uniqueness of transport equations via extrapolation
Abstract: We propose a novel extrapolation approach to uniqueness of weak solutions for a wide class of transport equations. In particular, this unifies and extends the classical works of Yudovich and Vishik on 2D Euler equations for incompressible fluid flows with associated nearly bounded and BMO vorticities, respectively.
10 March 2026, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Federico Luigi Dipasquale (Scuola Superiore Meridionale)
Title: The formation of gradient-driven singular structures of codimension one and two in 2D: The case study of ferronematics
Abstract: We consider a variational model for ferronematics---composite materials formed by dispersing magnetic nanoparticles into a liquid crystal matrix. The model features two coupled order parameters: a Landau-de Gennes Q-tensor for the liquid crystal component and a magnetisation vector field M, both of them governed by a Ginzburg-Landau-type energy. The energy includes a singular coupling term favouring alignment between Q and M. We report on some recent results on the asymptotic behaviour of (not necessarily minimising) critical points as a small parameter $\eps$ tends to zero. Our main results show that the energy concentrates along distinct singular sets: the (rescaled) energy density for the Q-component concentrates, to leading order, on a finite number of singular points, while the energy density for the M-component concentrates along a one-dimensional rectifiable set. Moreover, we will see that the curvature of the singular set for the M-component (technically, the first variation of the associated varifold) is concentrated on a finite number of points, i.e. the singular set for the Q-component. Joint work with G. Canevari (University of Verona) and B. Stroffolini (University of Naples ``Federico II'').
17 March 2026, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Ayman Said (CNRS/LMR)
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17 March 2026, 4:00-5:00pm, GSSI Main Lecture Hall
Speaker: Tim Heilman (TU Munich)
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24 March 2026, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Sam Krupa (ENS Paris)
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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.
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