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Artículo
Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations
dc.contributor.advisor | ||
dc.creator | Gutiérrez Santacreu, Juan Vicente | es |
dc.date.accessioned | 2019-10-22T07:55:56Z | |
dc.date.available | 2019-10-22T07:55:56Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Gutiérrez Santacreu, J.V. (2018). Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations. ArXiv.org, arXiv:1508.04161 | |
dc.identifier.uri | https://hdl.handle.net/11441/89776 | |
dc.description.abstract | In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which their corresponding weak solution to the three-dimensional Navier- Stokes equations become smooth on either [0, T1] or [T2,1), respectively, where T1 and T2 are two times prescribed previously. In particular, T1 can be arbitrarily large and T2 can be arbitrarily small. Therefore, possible formation of singularities would occur after a very long or short evolution time, respectively. We further prove that if a large part of the kinetic energy is consumed prior to the first (possible) blow-up time, then the global-in-time smoothness of the solutions follows for the two families of initial data. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad MTM2015-69875-P | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Cornell University | es |
dc.relation.ispartof | ArXiv.org, arXiv:1508.04161 | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Navier-Stokes equations | es |
dc.subject | Weak solutions | es |
dc.subject | Strong solutions | es |
dc.subject | Breakdown of smooth solutions | es |
dc.subject | Regularity of solutions | es |
dc.title | Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations | 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 Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2015-69875-P | es |
dc.relation.publisherversion | https://arxiv.org/abs/1508.04161 | es |
dc.identifier.doi | 10.3934/dcds.2020142 | |
idus.format.extent | 16 | es |
dc.journaltitle | ArXiv.org | es |
dc.publication.issue | arXiv:1508.04161 | es |
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