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dc.contributor.authorIgnat, Radu
dc.contributor.authorNguyen, Luc
dc.contributor.authorSlastikov, Valeriy
dc.contributor.authorZarnescu, Arghir
dc.date.accessioned2015-07-29T12:00:00Z
dc.date.accessioned2016-10-05T14:14:01Z
dc.date.available2015-07-29T12:00:00Z
dc.date.available2016-10-05T14:14:01Z
dc.date.issued2015-07-29
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1096
dc.descriptionResearch in Pairs 2014en_US
dc.description.abstractWe study a class of symmetric critical points in a variational 2$D$ Landau - de Gennes model where the state of nematic liquid crystals is described by symmetric traceless $3 \times 3$ matrices. These critical points play the role of topological point defects carrying a degree $k\over 2$ for a nonzero integer $k$. We prove existence and study the qualitative behavior of these symmetric solutions. Our main result is the instability of critical points when $|k| \geq 2$.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2015,05
dc.titleInstability of point defects in a two-dimensional nematic liquid crystal modelen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2015-05
local.scientificprogramResearch in Pairs 2014
local.series.idOWP-2015-05
dc.identifier.urnurn:nbn:de:101:1-201505127426
dc.identifier.ppn1657060934


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