Analysis of optimal boundary control of the Boussinesq approximation
| dc.contributor.author | Bärwolff, Günter | |
| dc.contributor.author | Hinze, Michael | |
| dc.date.accessioned | 2022-05-11T12:11:40Z | |
| dc.date.available | 2022-05-11T12:11:40Z | |
| dc.date.issued | 2008-02-22 | |
| dc.description | This preprint is a revised version of Preprint 38-2007. | en |
| dc.description.abstract | In the present paper we complement a recent applied work with presenting the analytical framework for general optimal boundary control problems of the Boussinesq approximation. We prove existence of optimal controls, use results of Gajewski (1975) to prove existence and uniqueness of solutions to state and the adjoint system, and derive first order necessary as well as second order sufficient optimality conditions. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/16894 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-15672 | |
| dc.language.iso | en | |
| dc.relation.isversionof | 10.14279/depositonce-15667 | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | time-dependent Boussinesq approximation | en |
| dc.subject.other | optimal boundary control | en |
| dc.subject.other | optimality conditions | en |
| dc.title | Analysis of optimal boundary control of the Boussinesq approximation | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | |
| 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 | 2008, 10 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 76D05 Navier-Stokes equations | en |
| tub.subject.msc2000 | 76D55 Flow control and optimization | en |
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