Title	Regularity and Behavior of Eigenvalues for Minimizers of a Constrained Q-Tensor Energy for Liquid Crystals
Creator	Bauman, Patricia
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-05T10:24
Description	We investigate minimizers defined on a bounded domain for the Maier-Saupe energy used to characterize nematic liquid crystal configurations. The energy density is singular, as in Ball and Majumdar's modification of the Landau-de Gennes Q-tensor model, so as to constrain the competing states to take values in the closure of a physically realistic range. We prove that minimizers are regular and in several model problems we are able to use this regularity to prove that minimizers take on values strictly within the physical range.
Extent	55 minutes
Subject	Mathematics; Partial differential equations; Statistical mechanics, structure of matter
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Purdue University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-12-05
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0361171
URI	http://hdl.handle.net/2429/63821
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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