dc.creator | Dias Araruna, Fágner | es |
dc.creator | Fernández Cara, Enrique | es |
dc.creator | Araujo de Souza, Diego | es |
dc.date.accessioned | 2016-05-20T10:08:22Z | |
dc.date.available | 2016-05-20T10:08:22Z | |
dc.date.issued | 2014-10 | |
dc.identifier.citation | Dias Araruna, F., Fernández Cara, E. y Araujo de Souza, D. (2014). Uniform local null control of the Leray-α model. ESAIM: Control, Optimisation and Calculus of Variations, 20 (4), 1181-1202. | |
dc.identifier.issn | 1292-8119 | es |
dc.identifier.issn | 1262-3377 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41441 | |
dc.description.abstract | This paper deals with the distributed and boundary controllability of the so called Leray-α model. This is a regularized variant of the Navier−Stokes system (α is a small positive parameter) that can also be viewed as a model for turbulent flows. We prove that the Leray-α equations are locally null controllable, with controls bounded independently of α. We also prove that, if the initial data are sufficiently small, the controls converge as α → 0+ to a null control of the Navier−Stokes equations. We also discuss some other related questions, such as global null controllability, local and global exact
controllability to the trajectories, etc. | es |
dc.description.sponsorship | Instituto Nacional de Ciência e Tecnologia de Matemática | es |
dc.description.sponsorship | Coordenação de aperfeiçoamento de pessoal de nivel superior | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia (España) MTM2006-07932 MTM2010-15592 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | EDP Sciences | es |
dc.relation.ispartof | ESAIM: Control, Optimisation and Calculus of Variations, 20 (4), 1181-1202. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Null controllability | es |
dc.subject | Carleman inequalities | es |
dc.subject | Leray-α model | es |
dc.subject | Navier−Stokes equations | es |
dc.title | Uniform local null control of the Leray-α model | 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 | info:eu-repo/grantAgreement/MINECO/MTM2006-07932 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2010-15592 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1051/cocv/2014011 | es |
dc.identifier.doi | 10.1051/cocv/2014011 | es |
idus.format.extent | 23 p. | es |
dc.journaltitle | ESAIM: Control, Optimisation and Calculus of Variations | es |
dc.publication.volumen | 20 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1181 | es |
dc.publication.endPage | 1202 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41441 | |