SYMMETRY OF UNIAXIAL GLOBAL LANDAU-DE GENNES MINIMIZERS IN THE THEORY OF NEMATIC LIQUID CRYSTALS

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dc.contributor.authorHenao, Duvan
dc.contributor.authorMajumdar, Apala
dc.date.accessioned2024-01-10T12:43:15Z
dc.date.available2024-01-10T12:43:15Z
dc.date.issued2012
dc.description.abstractWe extend the recent radial symmetry results by Pisante [J. Funct. Anal., 260 (2011), pp. 892-905] and Millot and Pisante [J. Eur. Math. Soc. (JEMS), 12 (2010), pp. 1069-1096] (who show that the equivariant solutions are the only entire solutions of the three-dimensional Ginzburg-Landau equations in superconductivity theory) to the Landau-de Gennes framework in the theory of nematic liquid crystals. In the low temperature limit, we obtain a characterization of global Landau-de Gennes minimizers, in the restricted class of uniaxial tensors, in terms of the well-known radial-hedgehog solution. We use this characterization to prove that global Landau-de Gennes minimizers cannot be purely uniaxial for sufficiently low temperatures.
dc.description.funderNew Frontiers in the Mathematics of Solids-OxMOS Research Programme
dc.description.funderKing Abdullah University of Science and Technology (KAUST)
dc.description.funderFONDECYT Iniciacion project from the Chilean Ministry of Education
dc.description.funderEPSRC
dc.description.funderKeble research fellowship
dc.fechaingreso.objetodigital2024-05-14
dc.format.extent25 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1137/110856861
dc.identifier.eissn1095-7154
dc.identifier.issn0036-1410
dc.identifier.urihttps://doi.org/10.1137/110856861
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77578
dc.identifier.wosidWOS:000310576900005
dc.information.autorucMatemática;Henao D;S/I;127635
dc.issue.numero5
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final3241
dc.pagina.inicio3217
dc.publisherSIAM PUBLICATIONS
dc.revistaSIAM JOURNAL ON MATHEMATICAL ANALYSIS
dc.rightsacceso restringido
dc.subjectliquid crystals
dc.subjectLandau-de Gennes
dc.subjectGinzburg-Landau
dc.subjectlow-temperature limit
dc.subjectradial symmetry
dc.subjectradial hedgehog
dc.subjectuniaxiality
dc.subjectbiaxiality
dc.subjectinstability
dc.subjectasymptotic analysis
dc.subjectMINIMIZATION
dc.subjectREGULARITY
dc.titleSYMMETRY OF UNIAXIAL GLOBAL LANDAU-DE GENNES MINIMIZERS IN THE THEORY OF NEMATIC LIQUID CRYSTALS
dc.typeartículo
dc.volumen44
sipa.codpersvinculados127635
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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