| dc.contributor.author | Casas Rentería, Eduardo | |
| dc.contributor.author | Kunisch, Karl | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2019-04-25T09:54:50Z | |
| dc.date.available | 2019-04-25T09:54:50Z | |
| dc.date.issued | 2019-04 | |
| dc.identifier.issn | 0363-0129 | |
| dc.identifier.issn | 1095-7138 | |
| dc.identifier.other | MTM2014-57531-P | es_ES |
| dc.identifier.other | MTM2017-83185-P | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10902/16179 | |
| dc.description.abstract | In this paper, we consider an optimal control problem for the two-dimensional stationary Navier-Stokes system. Looking for sparsity, we take Borel measures as controls. We prove the well-posedness of the control problem and derive necessary and sufficient conditions for local optimality of the controls. Finally, under a second order condition, we prove rates of the optimal states with respect to small perturbations in the data of the control problem. | es_ES |
| dc.description.sponsorship | The first author was supported by the Spanish Ministerio de Economía, Industria y Competitividad under research projects MTM2014-57531-P and MTM2017-83185-P. The second author was supported by the ERC advanced grant 668998 (OCLOC) under the EU’s H2020 research program. | es_ES |
| dc.format.extent | 27 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Society for Industrial and Applied Mathematics | es_ES |
| dc.rights | © Society for Industrial and Applied Mathematics | es_ES |
| dc.source | SIAM Journal on Control and Optimization, 2019, 57(2), 1328-1354 | es_ES |
| dc.subject.other | Navier-Stokes equations | es_ES |
| dc.subject.other | Borel measures | es_ES |
| dc.subject.other | Sparsity | es_ES |
| dc.subject.other | First and second order optimality conditions | es_ES |
| dc.subject.other | Stability | es_ES |
| dc.title | Optimal control of the two-dimensional stationary Naviers-Stokes equations with measure valued controls | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1137/18M1185582 | |
| dc.type.version | publishedVersion | es_ES |
