98 citations · 325 across the 26 of their papers we have counts for
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Computing stable configurations of confined smectic liquid crystals with a deep variational framework
Yuchen Xie, Baoming Shi, Yucen Han +1
Smectic liquid crystals are layered liquid-crystalline phases characterized by orientational order and periodic density modulation. Although their structures can be modeled using c…
Hierarchies of Critical Points of a Landau-de Gennes Free Energy on Three-Dimensional Cuboids
Baoming Shi, Yucen Han, Jianyuan Yin +2
We investigate critical points of a Landau-de Gennes (LdG) free energy in three-dimensional (3D) cuboids, that model nematic equilibria. We develop a hybrid saddle dynamics-based a…
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…
Solution Landscapes of the Simplified Ericksen--Leslie Model and its Comparison with the Reduced Landau--de Gennes Model
Yucen Han, Jianyuan Yin, Yucheng Hu +2
We investigate the solution landscapes of a simplified Ericksen--Leslie (sEL) vector model for nematic liquid crystals, confined in a two-dimensional square domain with tangent bou…
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…