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math.AP2019
The Well Order Reconstruction Solution for Three-Dimensional Wells, in the Landau-de Gennes theory
Giacomo Canevari, Joseph Harris, Apala Majumdar +1
We study nematic equilibria on three-dimensional square wells, with emphasis on Well Order Reconstruction Solutions (WORS) as a function of the well size, characterized by , and…
math.AP2018
Order Reconstruction for Nematics on Squares with Isotropic Inclusions: A Landau-de Gennes Study
Yiwei Wang, Giacomo Canevari, Apala Majumdar
We prove the existence of a well order reconstruction solution (WORS) type Landau-de Gennes critical point on a square domain with an isotropic concentric square inclusion, with ta…
math.AP2017
Remarks on Uniaxial Solutions in the Landau-de Gennes Theory
Apala Majumdar, Yiwei Wang
We study uniaxial solutions of the Euler-Lagrange equations for a Landau-de Gennes free energy for nematic liquid crystals, with a fourth order bulk potential, with and without ela…