4.5 Article

Disclinations in Limiting Landau-de Gennes Theory

Journal

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 237, Issue 1, Pages 147-200

Publisher

SPRINGER
DOI: 10.1007/s00205-020-01505-7

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Funding

  1. RGC Grant of Hong Kong [14306414]

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In this article we study the low-temperature limit of a Landau-de Gennes theory. Within all S-2-valued 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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