Axisymmetric self-similar finite-time singularity solution of the Euler equations

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dc.catalogadorcrc
dc.contributor.authorCádiz Carvajal, Rodrigo Esteban
dc.contributor.authorMartinez Arguello Diego
dc.contributor.authorRica, Sergio
dc.date.accessioned2023-05-30T16:23:45Z
dc.date.available2023-05-30T16:23:45Z
dc.date.issued2023
dc.date.updated2023-05-28T00:04:18Z
dc.description.abstractAbstract Self-similar finite-time singularity solutions of the axisymmetric Euler equations in an infinite system with a swirl are provided. Using the Elgindi approximation of the Biot–Savart kernel for the velocity in terms of vorticity, we show that an axisymmetric incompressible and inviscid flow presents a self-similar finite-time singularity of second specie, with a critical exponent ν. Contrary to the recent findings by Hou and collaborators, the current singularity solution occurs at the origin of the coordinate system, not at the system’s boundaries or on an annular rim at a finite distance. Finally, assisted by a numerical calculation, we sketch an approximate solution and find the respective values of ν. These solutions may be a starting point for rigorous mathematical proofs.
dc.fechaingreso.objetodigital2023-05-28
dc.fuente.origenAutoarchivo
dc.identifier.citationAdvances in Continuous and Discrete Models. 2023 May 22;2023(1):30
dc.identifier.doi10.1186/s13662-023-03774-4
dc.identifier.eissn2731-4235
dc.identifier.urihttps://doi.org/10.1186/s13662-023-03774-4
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/70501
dc.identifier.wosidWOS:000991663200001
dc.information.autorucEscuela de Ingeniería; Cádiz Carvajal, Rodrigo Esteban; 0000-0001-5902-1170 ;1026157
dc.information.autorucInstituto de Física;Rica, Sergio ;0000-0003-0695-6700; 1217344
dc.issue.numero1
dc.language.isoen
dc.nota.accesoContenido completo
dc.pagina.final15
dc.pagina.inicio1
dc.revistaAdvances in Continuous and Discrete Models
dc.rightsacceso abierto
dc.rights.holderThe Author(s)
dc.rights.licenseAttribution 4.0 International (CC BY 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectEuler equations
dc.subjectFinite-time singularity
dc.subjectSelf-similarity
dc.subject.ddc530
dc.subject.deweyMatemática física y químicaes_ES
dc.titleAxisymmetric self-similar finite-time singularity solution of the Euler equations
dc.typeartículo
dc.volumen30
sipa.codpersvinculados4402
sipa.codpersvinculados1217344
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