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Uniqueness for Optimal control problems of two-dimensional second grade fluids

2022-03-18Artigo científico Acesso aberto
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dc.contributor.authorAlmeida, Adilson
dc.contributor.authorChemetov, Nikolai V.
dc.contributor.authorCipriano, Fernanda
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.institutionDM - Departamento de Matemática
dc.contributor.pblTexas State University
dc.date.accessioned2022-08-26T22:17:11Z
dc.date.available2022-08-26T22:17:11Z
dc.date.issued2022-03-18
dc.descriptionNikolai V. Chemetov was supported by the project no. 2021/03758-8 of Regular Research Grant-FAPESP, Brazil, and by the Program of "Docentes Novos", Process no. 20.1.4175.1.0 of Universidade de Sao Paulo. F. Cipriano was partially supported by the Fundacao para a Ciencia e a Tec-nologia.
dc.description.abstractWe study an optimal control problem with a quadratic cost functional for non-Newtonian fluids of differential type. More precisely, we consider the system governing the evolution of a second grade fluid filling a two-dimensional bounded domain, supplemented with a Navier slip boundary con-dition. Under certain assumptions on the size of the initial data and pa-rameters of the model, we prove second-order sufficient optimality conditions. Furthermore, we establish a global uniqueness result for the solutions of the first-order optimality system.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent12
dc.format.extent332247
dc.identifier.otherPURE: 43585734
dc.identifier.otherPURE UUID: f3c9d49b-fa86-40bf-9536-6c8b25202a61
dc.identifier.otherScopus: 85128290996
dc.identifier.otherWOS: 000773355500001
dc.identifier.otherORCID: /0000-0001-6385-8846/work/117952192
dc.identifier.urihttp://hdl.handle.net/10362/143320
dc.identifier.urlhttps://www.scopus.com/pages/publications/85128290996
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00297%2F2019/PT
dc.relationCenter for Mathematics and Applications
dc.subjectoptimal control
dc.subjectSecond grade fluids
dc.subjectuniqueness
dc.subjectAnalysis
dc.titleUniqueness for Optimal control problems of two-dimensional second grade fluidsen
dc.typejournal article
degois.publication.firstPage1
degois.publication.issue22
degois.publication.lastPage12
degois.publication.titleElectronic Journal of Differential Equations
degois.publication.volume2022
dspace.entity.typePublication
oaire.awardNumberUID/MAT/00297/2019
oaire.awardTitleCenter for Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00297%2F2019/PT
oaire.fundingStream6817 - DCRRNI ID
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
relation.isProjectOfPublication64f434a5-5508-48c9-9c51-7c5c1c285f68
relation.isProjectOfPublication.latestForDiscovery64f434a5-5508-48c9-9c51-7c5c1c285f68

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