English

Disclinations in limiting Landau-de Gennes theory

Analysis of PDEs 2020-04-22 v1

Abstract

In this article we study the low-temperature limit of a Landau-de Gennes theory. Within all S2-valued R-axially symmetric maps (see Definition 1.1), the limiting energy functional has at least two distinct energy minimizers. One minimizer has biaxial torus structure, while another minimizer has split-core segment structure on the z-axis.

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Cite

@article{arxiv.1905.01638,
  title  = {Disclinations in limiting Landau-de Gennes theory},
  author = {Yong Yu},
  journal= {arXiv preprint arXiv:1905.01638},
  year   = {2020}
}

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