Stochastic Euler-Poincaré reduction
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | ARNAUDON, Marc | |
hal.structure.identifier | grupo de fisica matematica | |
dc.contributor.author | CHEN, Xin | |
hal.structure.identifier | grupo de fisica matematica | |
dc.contributor.author | CRUZEIRO, Ana Bela | |
dc.date.accessioned | 2024-04-04T03:20:57Z | |
dc.date.available | 2024-04-04T03:20:57Z | |
dc.date.created | 2014-07-29 | |
dc.date.issued | 2014-08-06 | |
dc.identifier.issn | 0022-2488 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194626 | |
dc.description.abstractEn | We 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.iso | en | |
dc.publisher | American Institute of Physics (AIP) | |
dc.title.en | Stochastic Euler-Poincaré reduction | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1063/1.4893357 | |
dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
dc.identifier.arxiv | 1204.3922 | |
bordeaux.journal | Journal of Mathematical Physics | |
bordeaux.volume | 55 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 8 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01057527 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Non spécifiée | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01057527v1 | |
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