Knotted solutions, from electromagnetism to fluid dynamics

dc.contributor.authorAlves, Daniel W. F. [UNESP]
dc.contributor.authorHoyos, Carlos
dc.contributor.authorNastase, Horatiu [UNESP]
dc.contributor.authorSonnenschein, Jacob
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Oviedo
dc.contributor.institutionTel Aviv Univ
dc.date.accessioned2018-11-26T17:42:29Z
dc.date.available2018-11-26T17:42:29Z
dc.date.issued2017-11-30
dc.description.abstractKnotted solutions to electromagnetism and fluid dynamics are investigated, based on relations we find between the two subjects. We can write fluid dynamics in electromagnetism language, but only on an initial surface, or for linear perturbations, and we use this map to find knotted fluid solutions, as well as new electromagnetic solutions. We find that knotted solutions of Maxwell electromagnetism are also solutions of more general nonlinear theories, like Born Infeld, and including ones which contain quantum corrections from couplings with other modes, like Euler Heisenberg and string theory DBI. Null configurations in electromagnetism can be described as a null pressureless fluid, and from this map we can find null fluid knotted solutions. A type of nonrelativistic reduction of the relativistic fluid equations is described, which allows us to find also solutions of the (nonrelativistic) Euler's equations.en
dc.description.affiliationUniv Estadual Paulista, UNESP, Inst Fis Teor, R Dr Bento T Ferraz 271,Bl 2, BR-01140070 Sao Paulo, SP, Brazil
dc.description.affiliationUniv Oviedo, Dept Phys, Avda Calvo Sotelo 18, Oviedo 33007, Spain
dc.description.affiliationTel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Phys & Astron, IL-69978 Ramat Aviv, Israel
dc.description.affiliationUnespUniv Estadual Paulista, UNESP, Inst Fis Teor, R Dr Bento T Ferraz 271,Bl 2, BR-01140070 Sao Paulo, SP, Brazil
dc.description.sponsorshipIsrael Science Foundation
dc.description.sponsorshipUS-Israel bi-national fund (BSF)
dc.description.sponsorshipGermany Israel bi-national fund GIF
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipRamon y Cajal fellowship
dc.description.sponsorshipAsturian grant
dc.description.sponsorshipSpanish national grant
dc.description.sponsorshipIdIsrael Science Foundation: 1989/14
dc.description.sponsorshipIdUS-Israel bi-national fund (BSF): 2012383
dc.description.sponsorshipIdGermany Israel bi-national fund GIF: I-244-303.7-2013
dc.description.sponsorshipIdCNPq: 304006/2016-5
dc.description.sponsorshipIdCNPq: 146086/2015-5
dc.description.sponsorshipIdFAPESP: 2014/18634-9
dc.description.sponsorshipIdFAPESP: 2016/01343-7
dc.description.sponsorshipIdRamon y Cajal fellowship: RYC-2012-10370
dc.description.sponsorshipIdAsturian grant: FC-15-GRUPIN14-108
dc.description.sponsorshipIdSpanish national grant: MINECO-16-FPA2015-63667-P
dc.format.extent34
dc.identifierhttp://dx.doi.org/10.1142/50217751X17502001
dc.identifier.citationInternational Journal Of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 32, n. 33, 34 p., 2017.
dc.identifier.doi10.1142/50217751X17502001
dc.identifier.issn0217-751X
dc.identifier.urihttp://hdl.handle.net/11449/163550
dc.identifier.wosWOS:000416952700015
dc.language.isoeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal Of Modern Physics A
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectClassical field theory solutions
dc.subjectfluid dynamics
dc.subjectknotted solutions
dc.subjectelectromagnetism
dc.titleKnotted solutions, from electromagnetism to fluid dynamicsen
dc.typeArtigo
dcterms.rightsHolderWorld Scientific Publ Co Pte Ltd
unesp.author.orcid0000-0002-9383-6047[3]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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