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First- and second-order optimality conditions for the control of infinite horizon Navier-Stokes equations

dc.contributor.authorCasas Rentería, Eduardo 
dc.contributor.authorKunisch, Karl
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2025-12-03T09:43:53Z
dc.date.issued2024-05-14
dc.identifier.issn0233-1934
dc.identifier.issn1029-4945
dc.identifier.otherPID2020-114837GB-I00es_ES
dc.identifier.urihttps://hdl.handle.net/10902/38376
dc.description.abstractFirst and second-order optimality conditions for optimal control problems over the infinite time horizon subject to the Navier-Stokes equations are derived. The cost functional enhances temporal sparsity of the controls, which implies that the optimal controls shut down in finite time. The problem formulation also includes explicit constraints on the control which may be non-smooth and non-affine.es_ES
dc.description.sponsorshipThe first author was partially supported by MCIN/ AEI/10.13039/501100011033 under research project PID2020-114837GB-I00.es_ES
dc.format.extent41 p.es_ES
dc.language.isoenges_ES
dc.publisherTaylor and Francis Ltd.es_ES
dc.rightsThis is an Accepted Manuscript version of the following article, accepted for publication in Optimization. Casas, E., Kunisch, K. 2025. First- and second-order optimality conditions for the control of infinite horizon Navier–Stokes equations. Optimization, 74(13), 3037-3080. It is deposited under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way.es_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.sourceOptimization, 2025, 74(13), 3037-3080es_ES
dc.subject.otherIn nite horizon optimal controles_ES
dc.subject.otherNavier Stokes equationses_ES
dc.subject.otherSecond order optimality conditionses_ES
dc.subject.otherSparsity promoting cost functionales_ES
dc.subject.otherNonsmooth optimizationes_ES
dc.subject.otherEuclidean norm constraintses_ES
dc.titleFirst- and second-order optimality conditions for the control of infinite horizon Navier-Stokes equationses_ES
dc.title.alternativeFirst and second order optimality conditions for the control of in nite horizon Navier-Stokes equationses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1080/02331934.2024.2358406es_ES
dc.rights.accessRightsembargoedAccesses_ES
dc.identifier.DOI10.1080/02331934.2024.2358406
dc.type.versionacceptedVersiones_ES
dc.embargo.lift2026-01-01
dc.date.embargoEndDate2026-01-01


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This is an Accepted Manuscript version of the following article, accepted for publication in Optimization. Casas, E., Kunisch, K. 2025. First- and second-order optimality conditions for the control of infinite horizon Navier–Stokes equations. Optimization, 74(13), 3037-3080. It is deposited under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way.Excepto si se señala otra cosa, la licencia del ítem se describe como This is an Accepted Manuscript version of the following article, accepted for publication in Optimization. Casas, E., Kunisch, K. 2025. First- and second-order optimality conditions for the control of infinite horizon Navier–Stokes equations. Optimization, 74(13), 3037-3080. It is deposited under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited, and is not altered, transformed, or built upon in any way.