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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)
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)
Title: Generic small-scale creation in the two-dimensional Euler equation
Abstract: In this talk I will present a recent result in collaboration with Thomas Alazard (CNRS-École Polytechnique). While it is well known that the Cauchy problem for the two-dimensional incompressible Euler equation is globally well-posed for smooth initial data, we show that for a dense $G_\delta$ set of initial data, the solutions lose regularity in infinite time, thereby confirming a long-standing conjecture of Yudovich in the smooth setting.
17 March 2026, 4:00-5:00pm, GSSI Main Lecture Hall
Speaker: Tim Heilman (TU Munich)
Title: Gamma-convergence of a nonlocal Modica-Mortola type energy
Abstract: In this talk we will present a Gamma-convergence result for a nonlocal critically scaled Modica-Mortola type energy. We first review some basic facts about Modica-Mortola type energy functionals and known results and then focus on explaining some of the ideas which allow to show Gamma-convergence with a geometric argument.
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.
14 April 2026, 2:30-3:30pm, GSSI Main Lecture Hall
Speaker: Elias Döhrer (TU Chemnitz)
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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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