dc.creator | Guillén González, Francisco Manuel | es |
dc.creator | Rodríguez Bellido, María Ángeles | es |
dc.date.accessioned | 2016-04-22T09:14:59Z | |
dc.date.available | 2016-04-22T09:14:59Z | |
dc.date.issued | 2005-07 | |
dc.identifier.citation | Guillén González, F.M. y Rodríguez Bellido, M.Á. (2005). On the uniqueness and regularity of the Primitive Equations imposing additional anisotropic regularity. Applied Mathematics Letters, 18 (7), 783-789. | es |
dc.identifier.issn | 0893-9659 | es |
dc.identifier.uri | http://hdl.handle.net/11441/40293 | |
dc.description.abstract | In this note, we prove that given u a weak solution of the Primitive Equations, imposing an additional condition on the vertical derivative of the velocity u (concretely ∂zu ∈ L∞(0, T;L2(Ω)) ∩ L2(0, T; H1(Ω))), then two different results hold; namely, uniqueness of weak solution (any weak solution associated to the same data that u must coincide with u) and global in time strong regularity for u (without “smallness assumptions” on the data).
Both results are proved when either Dirichlet or Robin type conditions on the bottom are considered. In the last case, a domain with a strictly bounded from below depth has to be imposed, even for the uniqueness result. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Applied Mathematics Letters, 18(7), 783-789 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Weak-strong uniqueness | es |
dc.subject | primitive equations | es |
dc.subject | anisotropic estimates | es |
dc.subject | strong solution | es |
dc.title | On the uniqueness and regularity of the Primitive Equations imposing additional anisotropic regularity | 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 Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | BFM2000-1317 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.aml.2004.07.024 | |
dc.identifier.doi | 10.1016/j.aml.2004.07.024 | es |
idus.format.extent | 7 p. | es |
dc.journaltitle | Applied Mathematics Letters | es |
dc.publication.volumen | 18 | es |
dc.publication.issue | 7 | es |
dc.publication.initialPage | 783 | es |
dc.publication.endPage | 789 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/40293 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |