Solution landscape of a reduced Landau–de Gennes model on a hexagon

@article{Han2021SolutionLO,
  title={Solution landscape of a reduced Landau–de Gennes model on a hexagon},
  author={Yucen Han and Jianyuan Yin and Pingwen Zhang and Apala Majumdar and Lei Zhang},
  journal={Nonlinearity},
  year={2021},
  volume={34},
  pages={2048 - 2069}
}
We investigate the solution landscape of a reduced Landau–de Gennes model for nematic liquid crystals (NLCs) on a two-dimensional hexagon at a fixed temperature, as a function of λ—the edge length. This is a generic example for reduced approaches on regular polygons. We apply the high-index optimization-based shrinking dimer method to systematically construct the solution landscape consisting of multiple solutions, with different defect configurations, and relationships between them. We report… 
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