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SUMMARY:Symmetry and multiple existence of critical points in 2D Landau-de
  Gennes Q-tensor theory - Luc Nguyen (University of Oxford)
DTSTART:20190117T114500Z
DTEND:20190117T123000Z
UID:TALK116998@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We study a Laudau-de Gennes model for liquid crystals where bo
 th the energy functional and the boundary data are invariant under the ort
 hogonal group. In three dimensional settings\, it is conjectured that mini
 mizers break the rotational symmetry. We show however that in two dimensio
 nal settings\, this no longer holds when the boundary data have no topolog
 ical obstruction: the minimizers are `unique and rotationally symmetric&#3
 9\;. As an application\, we obtain existence of (multiple) non-minimizing 
 rotationally symmetric critical points. Joint work with Radu Ignat\, Valer
 iy Slastikov and Arghir Zarnescu.
LOCATION:Seminar Room 1\, Newton Institute
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