Some properties of the nematic radial hedgehog in the Landau-de Gennes theory
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Publication:1759923
DOI10.1016/j.jmaa.2012.08.011zbMath1310.76011arXiv1212.1072OpenAlexW2042676270MaRDI QIDQ1759923
Publication date: 22 November 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.1072
Related Items (16)
Modelling and computation of liquid crystals ⋮ Stability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal model ⋮ Stability of half-degree point defect profiles for 2-D nematic liquid crystal ⋮ Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals ⋮ Disclinations in limiting Landau-de Gennes theory ⋮ Revisiting the Two-Dimensional Defect-Free Azimuthal Nematic Equilibrium on an Annulus ⋮ Uniaxial symmetry in nematic liquid crystals ⋮ Pattern formation in Landau-de Gennes theory ⋮ Improved partial regularity for manifold-constrained minimisers of subquadratic energies ⋮ Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model ⋮ Remarks on uniaxial solutions in the Landau-de Gennes theory ⋮ On equilibrium configurations of nematic liquid crystals droplet with anisotropic elastic energy ⋮ Symmetry in nonlinear PDEs: some open problems ⋮ Front Propagation at the Nematic-Isotropic Transition Temperature ⋮ Uniform profile near the point defect of Landau-de Gennes model ⋮ Radial symmetry on three-dimensional shells in the Landau-de Gennes theory
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