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dc.contributor.authorKitavtsev, G.
dc.contributor.authorRobbins, J.M.
dc.contributor.authorSlastikov, V.
dc.contributor.authorZarnescu, A.
dc.dateinfo:eu-repo/date/embargoEnd/2018-01-01
dc.date.accessioned2017-01-16T19:50:29Z
dc.date.available2017-01-16T19:50:29Z
dc.date.issued2016-12-31
dc.identifier.issn0218-2025
dc.identifier.urihttp://hdl.handle.net/20.500.11824/353
dc.description.abstractWe 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. 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.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleLiquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximationen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1142/S0218202516500664
dc.relation.publisherversionhttp://www.worldscientific.com/doi/abs/10.1142/S0218202516500664en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleMathematical Models and Methods in Applied Sciencesen_US


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