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dc.contributor.authorDe la Hoz, F.
dc.contributor.authorVega, L. 
dc.date.accessioned2018-07-06T12:00:31Z
dc.date.available2018-07-06T12:00:31Z
dc.date.issued2018-06-28
dc.identifier.issn0938-8974
dc.identifier.urihttp://hdl.handle.net/20.500.11824/823
dc.description.abstractIn this paper, we give evidence that the evolution of the vortex filament equation (VFE) for a regular M-corner polygon as initial datum can be explained at infinitesimal times as the superposition of M one-corner initial data. This fact is mainly sustained with the calculation of the speed of the center of mass; in particular, we show that several conjectures made at the numerical level are in agreement with the theoretical expectations. Moreover, due to the spatial periodicity, the evolution of VFE at later times can be understood as the nonlinear interaction of infinitely many filaments, one for each corner; and this interaction turns out to be some kind of nonlinear Talbot effect. We also give very strong numerical evidence of the transfer of energy and linear momentum for the M-corner case; and the numerical experiments carried out provide new arguments that support the multifractal character of the trajectory defined by one of the corners of the initial polygon.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectIntermittencyen_US
dc.subjectMultifractalityen_US
dc.subjectTalbot Effecten_US
dc.subjectTransfer of Energyen_US
dc.subjectTurbulenceen_US
dc.subjectVortex filament equationen_US
dc.titleOn the Relationship between the One-Corner Problem and the $M-$Corner Problem for the Vortex Filament Equationen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s00332-018-9477-7
dc.relation.publisherversionhttps://link.springer.com/article/10.1007%2Fs00332-018-9477-7en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/669689en_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleJournal of Nonlinear Scienceen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España