On minimizers of a Landau-de Gennes energy functional on planar domains

From MaRDI portal
Publication:741592

DOI10.1007/s00205-014-0731-3zbMath1308.35211arXiv1307.4437OpenAlexW2020102793MaRDI QIDQ741592

José Alberto Montero, Dmitry Golovaty

Publication date: 12 September 2014

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.4437




Related Items (33)

Modelling and computation of liquid crystalsHigher dimensional Ginzburg-Landau equations under weak anchoring boundary conditionsInstability of point defects in a two-dimensional nematic liquid crystal modelStability of point defects of degree \(\pm \frac{1}{2}\) in a two-dimensional nematic liquid crystal modelDimension Reduction for the Landau--de Gennes Model: The Vanishing Nematic Correlation Length LimitStability of half-degree point defect profiles for 2-D nematic liquid crystalSpherical particle in nematic liquid crystal under an external field: the Saturn ring regimeRefined asymptotics for Landau-de Gennes minimizers on planar domainsDimension reduction for the Landau-de Gennes model on curved nematic thin filmsTetrahedral frame fields via constrained third-order symmetric tensorsSymmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystalsDimension reduction for the Landau-de Gennes model in planar nematic thin filmsTwo-dimensional ferronematics, canonical harmonic maps and minimal connectionsA non-traditional view on the modeling of nematic disclination dynamicsThe Oseen-Frank limit of Onsager's molecular theory for liquid crystalsBifurcation analysis in a frustrated nematic cellTopological singular set of vector-valued maps. I: Applications to manifold-constrained Sobolev and BV spacesSaturn ring defect around a spherical particle immersed in a nematic liquid crystalImproved partial regularity for manifold-constrained minimisers of subquadratic energiesLine defects in the small elastic constant limit of a three-dimensional Landau-de Gennes modelFront Propagation at the Nematic-Isotropic Transition TemperatureBiaxiality in the asymptotic analysis of a 2D Landau−de Gennes model for liquid crystalsTopological singular set of vector-valued maps. II: \( \varGamma \)-convergence for Ginzburg-Landau type functionalsHalf-integer point defects in the \(Q\)-tensor theory of nematic liquid crystalsSCALINGS AND LIMITS OF LANDAU-DE GENNES MODELS FOR LIQUID CRYSTALS: A COMMENT ON SOME RECENT ANALYTICAL PAPERSTopological singularities for vector-valued Sobolev maps and applicationsA Variational Method for Generating $n$-Cross Fields Using Higher-Order $Q$-TensorsLandau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystalsHölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limitGinzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifoldUniform profile near the point defect of Landau-de Gennes modelSingular perturbation of manifold-valued maps with anisotropic energy\(Q\)-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints



Cites Work


This page was built for publication: On minimizers of a Landau-de Gennes energy functional on planar domains