Partial regularity of minimum energy configurations in ferroelectric liquid crystals

Kyungkeun Kang; Jinhae Park

doi:10.3934/dcds.2013.33.1499

Article Contents

2013, Volume 33, Issue 4: 1499-1511. Doi: 10.3934/dcds.2013.33.1499

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Partial regularity of minimum energy configurations in ferroelectric liquid crystals

Kyungkeun Kang^1, and
Jinhae Park^2,

1.
Department of Mathematics, Yonsei University, 50 Yonsei-ro, Seadaemun-gu, Seoul 120-749
2.
Department of Mathematics, Chungnam National University, 99 Daehak-ro, Gung-Dong Yuseong-gu, Daejeon 305-764

Received: June 30, 2011

Revised: August 31, 2012

Published: March 2013

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Abstract

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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Mathematics Subject Classification: Primary: 35J50, 35J47, 47J05.

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References

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