On the Landau--de Gennes Elastic Energy of Constrained Biaxial Nematics

DOI10.1137/15M1041043zbMath1347.82020MaRDI QIDQ2811887

Domenico Mucci, Lorenzo Nicolodi

Publication date: 8 June 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

liquid crystalsLandau-de Gennes energyconstrained biaxial nematicsQ-tensor theory

Mathematics Subject Classification ID

Variational inequalities (49J40) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15)

Related Items (2)

On the Landau-de Gennes elastic energy of a \(Q\)-tensor model for soft biaxial nematics ⋮ On the Ginzburg-Landau free energy density of superfluid A and B phases of Helium 3

Cites Work

• Orientability and energy minimization in liquid crystal models
• Theory and applications of liquid crystals
• Maps into projective spaces: liquid crystal and conformal energies
• Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
• On the elastic energy density of constrained \(Q\)-tensor models for biaxial nematics
• Travelling waves for the Gross-Pitaevskii equation in dimension larger than two
• Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Finite Element Analysis of the Landau--de Gennes Minimization Problem for Liquid Crystals
• Perturbed hedgehogs: continuous deformation of point defects in biaxial nematic liquid crystals
• Dynamic cubic instability in a 2D Q-tensor model for liquid crystals
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