27 citations · 33 across the 4 of their papers we have counts for
8 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…
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…
Modeling and Computation of Liquid Crystals
Wei Wang, Lei Zhang, Pingwen Zhang
Liquid crystal is a typical kind of soft matter that is intermediate between crystalline solids and isotropic fluids. The study of liquid crystals has made tremendous progress over…
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…
A Reduced Study for Nematic Equilibria on Two-Dimensional Polygons
Yucen Han, Apala Majumdar, Lei Zhang
We study reduced nematic equilibria on regular two-dimensional polygons with Dirichlet tangent boundary conditions, in a reduced two-dimensional Landau-de Gennes framework, discuss…