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Disclinations in Limiting Landau–de Gennes Theory

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Abstract

In this article we study the low-temperature limit of a Landau–de Gennes theory. Within all \({\mathbb {S}}^2\)-valued \({\mathscr {R}}\)-axially symmetric maps (see Definition 1.1), the limiting energy functional has at least two distinct energy minimizers. One minimizer has a biaxial torus structure, while another minimizer has a split-core segment structure on the z-axis.

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Acknowledgements

The author is partially supported by RGC Grant of Hong Kong No. 14306414.

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  1. Department of Mathematics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong SAR

    Yong Yu

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Yu, Y. Disclinations in Limiting Landau–de Gennes Theory. Arch Rational Mech Anal 237, 147–200 (2020). https://doi.org/10.1007/s00205-020-01505-7

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