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Stochastic Euler-Poincaré reduction

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorARNAUDON, Marc
hal.structure.identifiergrupo de fisica matematica
dc.contributor.authorCHEN, Xin
hal.structure.identifiergrupo de fisica matematica
dc.contributor.authorCRUZEIRO, Ana Bela
dc.date.accessioned2024-04-04T03:20:57Z
dc.date.available2024-04-04T03:20:57Z
dc.date.created2014-07-29
dc.date.issued2014-08-06
dc.identifier.issn0022-2488
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194626
dc.description.abstractEnWe prove a Euler-Poincaré reduction theorem for stochastic processes taking values on a Lie group, which is a generalization of the reduction argument in Marsden-Ratiu (2003) for the deterministic case. We also show examples of its application to SO(3) and to the group of diffeomorphisms, which includes the Navier-Stokes equation on a bounded domain and the Camassa-Holm equation.
dc.language.isoen
dc.publisherAmerican Institute of Physics (AIP)
dc.title.enStochastic Euler-Poincaré reduction
dc.typeArticle de revue
dc.identifier.doi10.1063/1.4893357
dc.subject.halMathématiques [math]/Probabilités [math.PR]
dc.identifier.arxiv1204.3922
bordeaux.journalJournal of Mathematical Physics
bordeaux.volume55
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue8
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01057527
hal.version1
hal.popularnon
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01057527v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Mathematical%20Physics&rft.date=2014-08-06&rft.volume=55&rft.issue=8&rft.eissn=0022-2488&rft.issn=0022-2488&rft.au=ARNAUDON,%20Marc&CHEN,%20Xin&CRUZEIRO,%20Ana%20Bela&rft.genre=article


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