Title	Symmetry and multiple existence of critical points in 2D Landau-de Gennes Q-tensor theory
Creator	Nguyen, Luc
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-04T15:18
Description	We study a Laudau-de Gennes model for liquid crystals where both the energy functional and the boundary data are invariant under the orthogonal group. In three dimensional settings, it is conjectured that minimizers break the rotational symmetry. We show however that in two dimensional settings, this no longer holds when the boundary data have no topological obstruction: the minimizers are `unique and rotationally symmetric'. As an application, we obtain existence of (multiple) non-minimizing rotationally symmetric critical points. Joint work with Radu Ignat, Valeriy Slastikov and Arghir Zarnescu.
Extent	44 minutes
Subject	Mathematics; Partial differential equations; Statistical mechanics, structure of matter
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Oxford
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-11-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0357425
URI	http://hdl.handle.net/2429/63514
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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