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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Showing 2022Show all

5 papers · 1 filter

cond-mat.soft2022

A Reduced Landau-de Gennes Study for Nematic Equilibria in Three-Dimensional Prisms

Yucen Han, Baoming Shi, Lei Zhang +1

We model nematic liquid crystal configurations inside three-dimensional prisms, with a polygonal cross-section and Dirichlet boundary conditions on all prism surfaces. We work in a…

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…

cond-mat.soft2022★ 8 cited

Hierarchies of Critical Points of a Landau-de Gennes Free Energy on Three-Dimensional Cuboids

Baoming Shi, Yucen Han, Jianyuan Yin +2

We investigate critical points of a Landau-de Gennes (LdG) free energy in three-dimensional (3D) cuboids, that model nematic equilibria. We develop a hybrid saddle dynamics-based a…