Show simple item record

From kinetic to fluid models of liquid crystals by the moment method

hal.structure.identifierInstitut de Mathématiques de Toulouse UMR5219 [IMT]
dc.contributor.authorDegond, Pierre
HAL ID: 748885
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorFrouvelle, Amic
HAL ID: 874
ORCID: 0000-0001-6828-8176
hal.structure.identifierDuke Physics
dc.contributor.authorLiu, Jian-Guo
dc.date.accessioned2021-11-03T15:35:21Z
dc.date.available2021-11-03T15:35:21Z
dc.date.issued2021
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22162
dc.language.isoenen
dc.subjectDoi equationen
dc.subjectMaier-Saupe interactionen
dc.subjectQ-tensoren
dc.subjectDeborah numberen
dc.subjectEricksen-Leslie equationsen
dc.subjectOseen-Franck energyen
dc.subjectorder parameteren
dc.subjectgeneralized collision invarianten
dc.subject.ddc520en
dc.titleFrom kinetic to fluid models of liquid crystals by the moment methoden
dc.typeDocument de travail / Working paper
dc.description.abstractenThis paper deals with the convergence of the Doi-Navier-Stokes model of liquid crystals to the Ericksen-Leslie model in the limit of the Deborah number tending to zero. While the literature has investigated this problem by means of the Hilbert expansion method, we develop the moment method, i.e. a method that exploits conservation relations obeyed by the collision operator. These are non-classical conservation relations which are associated with a new concept, that of Generalized Collision Invariant (GCI). In this paper, we develop the GCI concept and relate it to geometrical and analytical structures of the collision operator. Then, the derivation of the limit model using the GCI is performed in an arbitrary number of spatial dimensions and with non-constant and non-uniform polymer density. This non-uniformity generates new terms in the Ericksen-Leslie model.en
dc.publisher.cityParisen
dc.identifier.citationpages59en
dc.relation.ispartofseriestitleCahier de recherche du CEREMADEen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-03275272en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.identifier.citationdate2021
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2021-11-03T15:31:57Z
hal.author.functionaut
hal.author.functionaut
hal.author.functionaut


Files in this item

Thumbnail
Name:
polymers210629.pdf
Size:
586.4Kb
Format:
PDF
View/Open

This item appears in the following Collection(s)

Show simple item record