Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations
| dc.contributor.author | Tröltzsch, Fredi | |
| dc.contributor.author | Wachsmuth, Daniel | |
| dc.date.accessioned | 2021-12-17T10:05:30Z | |
| dc.date.available | 2021-12-17T10:05:30Z | |
| dc.date.issued | 2003-09-18 | |
| dc.description.abstract | In this paper sufficient optimality conditions are established for optimal control of both steady-state and evolution Navier-Stokes equations. The second-order condition requires coercivity of the Lagrange function on a suitable subspace together with first-order necessary conditions. It ensures local optimality of a reference function in a $L^s$-neighborhood, whereby the underlying analysis allows to use weaker norms than $L^\infty$. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15489 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14262 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | optimal control | en |
| dc.subject.other | Navier-Stokes equations | en |
| dc.subject.other | control constraints | en |
| dc.subject.other | second-order optimality conditions | en |
| dc.subject.other | first-order necessary conditions | en |
| dc.title | Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2003, 30 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 49K20 Problems involving partial differential equations | en |
| tub.subject.msc2000 | 49K27 Problems in abstract spaces | en |