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Minimality of the vortex solution for Ginzburg-Landau systems - Radu Ignat (Université Paul Sabatier Toulouse III)
2025-08-20 10:00 - 10:45 UTC | Seminar Room 1, Newton Institute
We consider the standard Ginzburg-Landau system for N-dimensional maps defined in the unit ball for some parameter eps>0. For a boundary data corresponding to a vortex of topological degree one, the aim is to prove the (radial) symmetry of the ground state of the system. We show this conjecture in any dimension N≥7 and for every eps>0, and then, we also prove it in dimension N=4,5,6 provided that the admissible maps are curl-free. This is part of several joint works with Luc Nguyen, Valeriy Slastikov, Arghir Zarnescu, Mickael Nahon and Mircea Rus.
