Revisiting the Two-Dimensional Defect-Free Azimuthal Nematic Equilibrium on an Annulus

Control/observation systems governed by partial differential equations (93C20) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Nonsimple materials (74A30) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Perturbations of PDEs on manifolds; asymptotics (58J37)

Cites Work

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Instability of point defects in a two-dimensional nematic liquid crystal model
Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model
Bifurcation analysis in a frustrated nematic cell
Dimension reduction for the Landau-de Gennes model in planar nematic thin films
Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders
Local stability of biaxial nematic phases between two cylinders
On uniqueness of vector-valued minimizers of the Ginzburg-Landau functional in annular domains
Some properties of the nematic radial hedgehog in the Landau-de Gennes theory
On the stability of radial solutions of the Ginzburg-Landau equation
The Landau-de Gennes theory of nematic liquid crystals: uniaxiality versus biaxiality
Existence and multiplicity of radial solutions describing the equilibrium of nematic liquid crystals in annular domains
Analysis of nematic liquid crystals with disclination lines
Order reconstruction patterns in nematic liquid crystal wells
Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation
Order Reconstruction for Nematics on Squares and Hexagons: A Landau--de Gennes Study
The radial-hedgehog solution in Landau–de Gennes' theory for nematic liquid crystals
Conformal mapping techniques for the modelling of liquid crystal devices
Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
Nematic Equilibria on a Two‐Dimensional Annulus
Ginzburg-Landau vortices
Half-integer point defects in the \(Q\)-tensor theory of nematic liquid crystals

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