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dc.contributor.authorCanevari, G.
dc.contributor.authorSegatti, A.
dc.date.accessioned2018-08-11T14:19:05Z
dc.date.available2018-08-11T14:19:05Z
dc.date.issued2018-07
dc.identifier.issn0003-9527
dc.identifier.urihttp://hdl.handle.net/20.500.11824/838
dc.description.abstractIn this paper we rigorously investigate the emergence of defects on Nematic Shells with a genus different from one. This phenomenon is related to a non-trivial interplay between the topology of the shell and the alignment of the director field. To this end, we consider a discrete XY system on the shell M, described by a tangent vector field with unit norm sitting at the vertices of a triangulation of the shell. Defects emerge when we let the mesh size of the triangulation go to zero, namely in the discrete-to-continuum limit. In this paper we investigate the discrete-to-continuum limit in terms of Gamma-convergence in two different asymptotic regimes. The first scaling promotes the appearance of a finite number of defects whose charges are in accordance with the topology of shell M, via the Poincaré–Hopf Theorem. The second scaling produces the so called Renormalized Energy that governs the equilibrium of the configurations with defects.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.titleDefects in Nematic Shells: a Gamma-convergence discrete-to-continuum approachen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.arxiv1612.07720
dc.identifier.dois00205-017-1215-z
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s00205-017-1215-zen_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleArchive for Rational Mechanics and Analysisen_US


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