State-constrained optimal control of the stationary Navier-Stokes equations

dc.contributor.authorde los Reyes, Juan Carlos
dc.contributor.authorGriesse, Roland
dc.date.accessioned2022-05-11T12:11:31Z
dc.date.available2022-05-11T12:11:31Z
dc.date.issued2005-09-01
dc.description.abstractIn this paper, the optimal control problem of the stationary Navier-Stokes equations in the presence of state constraints is investigated. We prove the existence of an optimal solution and derive first order necessary optimality conditions. The regularity of the adjoint state and the state constraint multiplier is also studied. Finally, the Lipschitz stability of the optimal control, state and adjoint variables with respect to perturbations is proved.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/16873
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-15651
dc.language.isoen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc510 Mathematiken
dc.subject.otheroptimal controlen
dc.subject.otherNavier-Stokes equationsen
dc.subject.otherstate constraintsen
dc.subject.otherLipschitz stabilityen
dc.titleState-constrained optimal control of the stationary Navier-Stokes equationsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfree
tub.affiliationFak. 2 Mathematik und Naturwissenschaften>Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2005, 22en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200035Q35 Other equations arising in fluid mechanicsen
tub.subject.msc200049J20 Optimal control problems involving partial differential equationsen
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