4 citations · 4 across the 2 of their papers we have counts for
5 papers · 1 filter
Liquid crystals and harmonic maps in polyhedral domains
A Majumdar, JM Robbins, M Zyskin
Unit-vector fields $\nvec$ on a convex polyhedron subject to tangent boundary conditions provide a simple model of nematic liquid crystals in prototype bistable displays. The e…
Energies of S^2-valued harmonic maps on polyhedra with tangent boundary conditions
A Majumdar, JM Robbins, M Zyskin
A unit-vector field n:P \to S^2 on a convex polyhedron P \subset R^3 satisfies tangent boundary conditions if, on each face of P, n takes values tangent to that face. Tangent unit-…
Elastic energy for reflection-symmetric topologies
A. Majumdar, J. M. Robbins, M. Zyskin
Nematic liquid crystals in a polyhedral domain, a prototype for bistable displays, may be described by a unit-vector field subject to tangent boundary conditions. Here we consider…
Elastic energy of liquid crystals in convex polyhedra
A Majumdar, JM Robbins, M Zyskin
We consider nematic liquid crystals in a bounded, convex polyhedron described by a director field n(r) subject to tangent boundary conditions. We derive lower bounds for the one-co…
Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra
A. Majumdar, J. M. Robbins, M. Zyskin
We derive a lower bound for energies of harmonic maps of convex polyhedra in to the unit sphere with tangent boundary conditions on the faces. We also establish tha…