27 citations · 30 across the 4 of their papers we have counts for
7 papers
Nematic liquid crystals in a rectangular confinement: solution landscape and bifurcation
Baoming Shi, Yucen Han, Lei Zhang
We study the solution landscape and bifurcation diagrams of nematic liquid crystals confined on a rectangle, using a reduced two-dimensional Landau--de Gennes framework in terms of…
Pattern Formation for Nematic Liquid Crystals-Modelling, Analysis, and Applications
Yucen Han, Apala Majumdar
We summarise some recent results on solution landscapes for two-dimensional (2D) problems in the Landau--de Gennes theory for nematic liquid crystals. We study energy-minimizing an…
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…
Tailored Nematic and Magnetization Profiles on 2D Polygons
Yucen Han, Joseph Harris, Joshua Walton +1
We study dilute suspensions of magnetic nanoparticles in a nematic host, on two-dimensional (2D) polygons. These systems are described by a nematic order parameter and a spontaneou…
Solution landscapes of the diblock copolymer-homopolymer model under two-dimensional confinement
Zhen Xu, Yucen Han, Jianyuan Yin +3
We investigate the solution landscapes of the confined diblock copolymer and homopolymer in two-dimensional domain by using the extended Ohta--Kawasaki model. The projected saddle…
Pathways connecting two opposed bilayers with a fusion pore: A molecularly-informed phase field approach
Yucen Han, Zirui Xu, An-Chang Shi +1
A phase field model with two phase fields, representing the concentration and the head-tail separation of amphiphilic molecules, respectively, has been constructed using an extensi…