212 citations · 463 across the 48 of their papers we have counts for
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Multistability for Nematic Liquid Crystals in Cuboids with Degenerate Planar Boundary Conditions
Baoming Shi, Yucen Han, Apala Majumdar +1
We study nematic configurations within three-dimensional (3D) cuboids, with planar degenerate boundary conditions on the cuboid faces, in the Landau-de Gennes framework. There are…
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…
Solution landscape of a reduced Landau-de Gennes model on a hexagon
Yucen Han, Jianyuan Yin, Pingwen Zhang +2
We investigate the solution landscape of a reduced Landau--de Gennes model for nematic liquid crystals on a two-dimensional hexagon at a fixed temperature, as a function of ---t…
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…
Solution Landscapes in the Landau-de Gennes Theory on Rectangles
Lidong Fang, Apala Majumdar, Lei Zhang
We study nematic equilibria on rectangular domains, in a reduced two-dimensional Landau-de Gennes framework. These reduced equilibria carry over to the three-dimensional framework…
Twisted rods, helices and buckling solutions in three dimensions
Apala Majumdar, Alexander Raisch
The study of slender elastic structures is an archetypical problem in continuum mechanics, dynamical systems and bifurcation theory, with a rich history dating back to Euler's semi…