Knotted solutions, from electromagnetism to fluid dynamics
dc.contributor.author | Alves, Daniel W. F. [UNESP] | |
dc.contributor.author | Hoyos, Carlos | |
dc.contributor.author | Nastase, Horatiu [UNESP] | |
dc.contributor.author | Sonnenschein, Jacob | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Univ Oviedo | |
dc.contributor.institution | Tel Aviv Univ | |
dc.date.accessioned | 2018-11-26T17:42:29Z | |
dc.date.available | 2018-11-26T17:42:29Z | |
dc.date.issued | 2017-11-30 | |
dc.description.abstract | Knotted 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.affiliation | Univ Estadual Paulista, UNESP, Inst Fis Teor, R Dr Bento T Ferraz 271,Bl 2, BR-01140070 Sao Paulo, SP, Brazil | |
dc.description.affiliation | Univ Oviedo, Dept Phys, Avda Calvo Sotelo 18, Oviedo 33007, Spain | |
dc.description.affiliation | Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Phys & Astron, IL-69978 Ramat Aviv, Israel | |
dc.description.affiliationUnesp | Univ Estadual Paulista, UNESP, Inst Fis Teor, R Dr Bento T Ferraz 271,Bl 2, BR-01140070 Sao Paulo, SP, Brazil | |
dc.description.sponsorship | Israel Science Foundation | |
dc.description.sponsorship | US-Israel bi-national fund (BSF) | |
dc.description.sponsorship | Germany Israel bi-national fund GIF | |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description.sponsorship | Ramon y Cajal fellowship | |
dc.description.sponsorship | Asturian grant | |
dc.description.sponsorship | Spanish national grant | |
dc.description.sponsorshipId | Israel Science Foundation: 1989/14 | |
dc.description.sponsorshipId | US-Israel bi-national fund (BSF): 2012383 | |
dc.description.sponsorshipId | Germany Israel bi-national fund GIF: I-244-303.7-2013 | |
dc.description.sponsorshipId | CNPq: 304006/2016-5 | |
dc.description.sponsorshipId | CNPq: 146086/2015-5 | |
dc.description.sponsorshipId | FAPESP: 2014/18634-9 | |
dc.description.sponsorshipId | FAPESP: 2016/01343-7 | |
dc.description.sponsorshipId | Ramon y Cajal fellowship: RYC-2012-10370 | |
dc.description.sponsorshipId | Asturian grant: FC-15-GRUPIN14-108 | |
dc.description.sponsorshipId | Spanish national grant: MINECO-16-FPA2015-63667-P | |
dc.format.extent | 34 | |
dc.identifier | http://dx.doi.org/10.1142/50217751X17502001 | |
dc.identifier.citation | International Journal Of Modern Physics A. Singapore: World Scientific Publ Co Pte Ltd, v. 32, n. 33, 34 p., 2017. | |
dc.identifier.doi | 10.1142/50217751X17502001 | |
dc.identifier.issn | 0217-751X | |
dc.identifier.uri | http://hdl.handle.net/11449/163550 | |
dc.identifier.wos | WOS:000416952700015 | |
dc.language.iso | eng | |
dc.publisher | World Scientific Publ Co Pte Ltd | |
dc.relation.ispartof | International Journal Of Modern Physics A | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Web of Science | |
dc.subject | Classical field theory solutions | |
dc.subject | fluid dynamics | |
dc.subject | knotted solutions | |
dc.subject | electromagnetism | |
dc.title | Knotted solutions, from electromagnetism to fluid dynamics | en |
dc.type | Artigo | |
dcterms.rightsHolder | World Scientific Publ Co Pte Ltd | |
unesp.author.orcid | 0000-0002-9383-6047[3] | |
unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulo | pt |