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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorTriay, Arnaud
dc.date.accessioned2019-07-26T09:28:31Z
dc.date.available2019-07-26T09:28:31Z
dc.date.issued2019-04
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/19496
dc.language.isoenen
dc.subjectGross-Pitaevskii theoryen
dc.subjectLee-Huang-Yang correctionen
dc.subject.ddc520en
dc.titleExistence of minimizers in generalized Gross-Pitaevskii theory with the Lee-Huang-Yang correctionen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe study the dipolar Gross-Piteavskii functional with the Lee-Huang-Yang (LHY) correction term without trapping potential and in the regime where the dipole-dipole interaction dominates the repulsive short-range interaction. We show that, above a critical mass, the functional admits minimizers and we prove their regularity and exponential decay. We also estimate the critical mass in terms of the parameters of the system.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages10en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02104829en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.identifier.citationdate2019-04
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-07-26T09:27:30Z
hal.author.functionaut


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