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Artículo
A characterization of 3D steady Euler flows using commuting zero-flux homologies
dc.creator | Peralta Salas, Daniel | es |
dc.creator | Rechtman, Ana | es |
dc.creator | Torres de Lizaur, Francisco Javier | es |
dc.date.accessioned | 2022-07-01T08:24:41Z | |
dc.date.available | 2022-07-01T08:24:41Z | |
dc.date.issued | 2020-02-10 | |
dc.identifier.citation | Peralta Salas, D., Rechtman, A. y Torres de Lizaur, F.J. (2020). A characterization of 3D steady Euler flows using commuting zero-flux homologies. Ergodic theory and dynamical systems, 41 (7), 2166-2181. | |
dc.identifier.issn | 0143-3857 | es |
dc.identifier.issn | 1469-4417 | es |
dc.identifier.uri | https://hdl.handle.net/11441/134895 | |
dc.description.abstract | We characterize, using commuting zero-flux homologies, those volumepreserving vector fields on a 3-manifold that are steady solutions of the Euler equations for some Riemannian metric. This result extends Sullivan’s homological characterization of geodesible flows in the volume-preserving case. As an application, we show that steady Euler flows cannot be constructed using plugs (as in Wilson’s or Kuperberg’s constructions). Analogous results in higher dimensions are also proved. | es |
dc.format | application/pdf | es |
dc.format.extent | 16 p. | es |
dc.language.iso | eng | es |
dc.publisher | Cambridge | es |
dc.relation.ispartof | Ergodic theory and dynamical systems, 41 (7), 2166-2181. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | smooth dynamics | es |
dc.subject | symplectic dynamics | es |
dc.subject | Euler equations | es |
dc.subject | volume-preserving flows | es |
dc.title | A characterization of 3D steady Euler flows using commuting zero-flux homologies | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis matemático | es |
dc.relation.publisherversion | doi.org/10.1017/etds.2020.25 | es |
dc.identifier.doi | 10.1017/etds.2020.25 | es |
dc.contributor.group | Universidad de Sevilla. FQM104: Analisis Matematico | es |
dc.journaltitle | Ergodic theory and dynamical systems | es |
dc.publication.volumen | 41 | es |
dc.publication.issue | 7 | es |
dc.publication.initialPage | 2166 | es |
dc.publication.endPage | 2181 | es |
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