Stability of half-degree point defect profiles for 2-D nematic liquid crystal

Zhiyuan Geng; Wei Wang; Pingwen Zhang; Zhifei Zhang

doi:10.3934/dcds.2017269

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2017, Volume 37, Issue 12: 6227-6242. Doi: 10.3934/dcds.2017269

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Stability of half-degree point defect profiles for 2-D nematic liquid crystal

1.
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012-1185, USA
2.
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
3.
School of Mathematical Sciences, Peking University, Beijing 100871, China

Received: November 30, 2016

Revised: June 30, 2017

Published: October 2017

W. Wang is partly supported by NSF of China under Grant 11501502 and the Fundamental Research Funds for the Central Universities 2016QNA3004. P. Zhang is partly supported by NSF of China under Grant 11421101 and 11421110001. Z. Zhang is partly supported by NSF of China under Grant 11371039 and 11425103.

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Abstract

In this paper, we prove the stability of half-degree point defect profiles in $\mathbb{R}^2$ for the nematic liquid crystal within Landau-de Gennes model.

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Mathematics Subject Classification: Primary: 76A15, 35A15; Secondary: 82D30, 35B38, 35J57.

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References

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