212 citations · 463 across the 48 of their papers we have counts for
8 papers · 1 filter
Multistability for a Reduced Nematic Liquid Crystal Model in the Exterior of 2D Polygons
Yucen Han, Apala Majumdar
We study nematic equilibria in an unbounded domain, with a two-dimensional regular polygonal hole with edges, in a reduced Landau-de Gennes framework. This complements our prev…
Uniaxial versus Biaxial Pathways in One-Dimensional Cholesteric Liquid Crystals
Yucen Han, James Dalby, Benjamin MGD Carter +2
Cholesteric liquid crystals exhibit great morphological richness of static metastable states. Understanding the transitions between such states is key for the development of switch…
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…
Parameter dependent finite element analysis for ferronematics solutions
Ruma Rani Maity, Apala Majumdar, Neela Nataraj
This paper focuses on the analysis of a free energy functional, that models a dilute suspension of magnetic nanoparticles in a two-dimensional nematic well. The {\it first part} 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…
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…