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math.AP2024
A diffuse-interface Landau-de Gennes model for free-boundary problems in the theory of nematic liquid crystals
Dawei Wu, Baoming Shi, Yucen Han +3
We introduce a diffuse-interface Landau-de Gennes free energy for nematic liquid crystals (NLC) systems, with free boundaries, in three dimensions submerged in isotropic liquid, an…
math.AP2021★ 3 cited
Elastic anisotropy of nematic liquid crystals in the two-dimensional Landau-de Gennes model
Yucen Han, Joseph Harris, Lei Zhang +1
We study the effects of elastic anisotropy on the Landau-de Gennes critical points for nematic liquid crystals, in a square domain. The elastic anisotropy is captured by a paramete…