activity
20082024
most citedLandau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond

212 citations · 463 across the 48 of their papers we have counts for

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22 papers · 1 filter

math.AP2022

Two-dimensional Ferronematics, Canonical Harmonic Maps and Minimal Connections

Giacomo Canevari, Apala Majumdar, Bianca Stroffolini +1

We study a variational model for ferronematics in two-dimensional domains, in the "super-dilute" regime. The free energy functional consists of a reduced Landau-de Gennes energy fo…

math.AP2022

Weak solutions to the equations of stationary compressible flows in active liquid crystals

Zhilei Liang, Apala Majumdar, Dehua Wang +1

The equations of stationary compressible flows of active liquid crystals are considered in a bounded three-dimensional domain. The system consists of the stationary Navier-Stokes e…

math.AP2022

A Multi-Faceted Study of Nematic Order Reconstruction in Microfluidic Channels

James Dalby, Yucen Han, Apala Majumdar +1

We study order reconstruction (OR) solutions in the Beris-Edwards framework for nematodynamics, for both passive and active nematic flows in a microfluidic channel. OR solutions ex…

math.AP2021★ 3 cited

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…

math.AP2021

One-dimensional ferronematics in a channel: order reconstruction, bifurcations and multistability

James Dalby, Patrick E. Farrell, Apala Majumdar +1

We study a model system with nematic and magnetic orders, within a channel geometry modelled by an interval, . The system is characterised by a tensor-valued nematic order…

math.AP2019★ 27 cited

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…