dc.contributor.author Kitavtsev, G. dc.contributor.author Robbins, J.M. dc.contributor.author Slastikov, V. dc.contributor.author Zarnescu, A. dc.date info:eu-repo/date/embargoEnd/2018-01-01 dc.date.accessioned 2017-01-16T19:50:29Z dc.date.available 2017-01-16T19:50:29Z dc.date.issued 2016-12-31 dc.identifier.issn 0218-2025 dc.identifier.uri http://hdl.handle.net/20.500.11824/353 dc.description.abstract We consider the two-dimensional Landau-de Gennes energy with several elastic constants, subject to general $k$-radially symmetric boundary conditions. We show that for generic elastic constants the critical points consistent with the symmetry of the boundary conditions exist only in the case $k=2$. In this case we identify three types of radial profiles: with two, three of full five components and numerically investigate their minimality and stability depending on suitable parameters. en_US We also numerically study the stability properties of the critical points of the Landau-de Gennes energy and capture the intricate dependence of various qualitative features of these solutions on the elastic constants and the physical regimes of the liquid crystal system. dc.format application/pdf en_US dc.language.iso eng en_US dc.rights Reconocimiento-NoComercial-CompartirIgual 3.0 España en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.title Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation en_US dc.type info:eu-repo/semantics/article en_US dc.identifier.doi 10.1142/S0218202516500664 dc.relation.publisherversion http://www.worldscientific.com/doi/abs/10.1142/S0218202516500664 en_US dc.rights.accessRights info:eu-repo/semantics/embargoedAccess en_US dc.type.hasVersion info:eu-repo/semantics/acceptedVersion en_US dc.journal.title Mathematical Models and Methods in Applied Sciences en_US
﻿

### This item appears in the following Collection(s)

Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España