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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLi, Xingyu
dc.date.accessioned2019-12-18T10:15:28Z
dc.date.available2019-12-18T10:15:28Z
dc.date.issued2019
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20334
dc.language.isoenen
dc.subjectNernst-Planck equationen
dc.subjectlarge time asymptoticen
dc.subjectfree energyen
dc.subjectFisher informationen
dc.subject.ddc515en
dc.titleAsymptotic behavior of Nernst-Planck equationen
dc.typeDocument de travail / Working paper
dc.description.abstractenThis paper is devoted to the Nernst-Planck system of equations with an external potential of confinement. The main result is concerned with the asymptotic behaviour of the solution of the Cauchy problem. We will prove that the optimal exponential rate of convergence of the solution to the unique stationary solution is determined by the spectral gap of the linearized problem around the minimizer of the free energy. The key issue is to consider an adapted notion of scalar product.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages23en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02310654en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2019-10
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-12-18T09:40:01Z
hal.author.functionaut


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