Partial regularity of minimum energy configurations in ferroelectric liquid crystals
Author(s) -
Kyungkeun Kang,
Jinhae Park
Publication year - 2012
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2013.33.1499
Subject(s) - ferroelectricity , energy functional , energy (signal processing) , liquid crystal , condensed matter physics , chen , physics , materials science , mathematical analysis , pure mathematics , mathematics , quantum mechanics , geology , paleontology , dielectric
Considered here is a system of smectic liquid crystals possessing polarizations described by the Oseen-Frank and Chen-Lubensky energies. We establish partial regularity of minimizers for the governing energy functional using the idea of $(c,\beta)$-almost minimizer introduced in [9].
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