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Utilize este identificador para referenciar este registo: http://hdl.handle.net/10362/167686
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dc.contributor.authorChemetov, Nikolai-
dc.contributor.authorCipriano, Fernanda-
dc.date.accessioned2024-05-23T00:21:43Z-
dc.date.available2024-05-23T00:21:43Z-
dc.date.issued2024-04-24-
dc.identifier.issn0022-3239-
dc.identifier.otherPURE: 90453433-
dc.identifier.otherPURE UUID: 0e749fb7-f1e0-4159-8067-7fa5832c34c5-
dc.identifier.otherScopus: 85191348028-
dc.identifier.otherWOS: 001207627400001-
dc.identifier.otherORCID: /0000-0001-6385-8846/work/168642700-
dc.identifier.urihttp://hdl.handle.net/10362/167686-
dc.descriptionFunding Information: The work of N.V. Chemetov was also supported by FAPESP (Fundação de Amparo à pesquisa do Estado de São Paulo), project 2021/03758-8, "Mathematical problems in fluid dynamics". Publisher Copyright: © The Author(s) 2024.-
dc.description.abstractWe study a stochastic velocity tracking problem for the 2D-Navier–Stokes equations perturbed by a multiplicative Gaussian noise. From a physical point of view, the control acts through a boundary injection/suction device with uncertainty, modeled by stochastic non-homogeneous Navier-slip boundary conditions. We show the existence and uniqueness of the solution to the state equation, and prove the existence of an optimal solution to the control problem.en
dc.format.extent33-
dc.language.isoeng-
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT-
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT-
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT-
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT-
dc.rightsopenAccess-
dc.subject60G15-
dc.subject60H15-
dc.subject76B75-
dc.subject76D05-
dc.subjectNavier-slip boundary conditions-
dc.subjectOptimal control-
dc.subjectStochastic Navier–Stokes equations-
dc.subjectControl and Optimization-
dc.subjectManagement Science and Operations Research-
dc.subjectApplied Mathematics-
dc.titleA Boundary Control Problem for Stochastic 2D-Navier–Stokes Equations-
dc.typearticle-
degois.publication.titleJournal Of Optimization Theory And Applications-
dc.peerreviewedyes-
dc.identifier.doihttps://doi.org/10.1007/s10957-024-02416-3-
dc.description.versionpublishersversion-
dc.description.versionepub_ahead_of_print-
dc.contributor.institutionDM - Departamento de Matemática-
dc.contributor.institutionCMA - Centro de Matemática e Aplicações-
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