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SUMMARY:Minimality of the vortex solution for Ginzburg-Landau systems - Ra
 du Ignat (Université Paul Sabatier Toulouse III)
DTSTART:20250820T100000Z
DTEND:20250820T104500Z
UID:TALK234742@talks.cam.ac.uk
DESCRIPTION:We consider the standard Ginzburg-Landau system for N-dimensio
 nal 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 thi
 s conjecture in any dimension N&ge\;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.
LOCATION:Seminar Room 1\, Newton Institute
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