Lipschitz stability of optimal controls for the steady-state Navier-Stokes equations
| dc.contributor.author | Roubíček, Tomaš | |
| dc.contributor.author | Tröltzsch, Fredi | |
| dc.date.accessioned | 2021-12-17T10:05:11Z | |
| dc.date.available | 2021-12-17T10:05:11Z | |
| dc.date.issued | 2002-08-31 | |
| dc.description.abstract | An optimal control problem with quadratic cost functional for the steady-state Navier-Stokes equations with no-slip boundary condition is considered. Lipschitz stability of locally optimal controls with respect to certain perturbations of both the cost functional and the equation is proved provided a second-order sufficient optimality condition holds. For a sufficiently small Reynolds number, even global Lipschitz stability of the unique optimal control is shown. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15458 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14231 | |
| 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 | incompressible viscous fluids | en |
| dc.subject.other | flow control | en |
| dc.subject.other | first- and second-order optimality conditions | en |
| dc.subject.other | Lipschitz stability | en |
| dc.title | Lipschitz stability of optimal controls for the steady-state 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 | 2002, 749 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 49J20 Optimal control problems involving partial differential equations | en |
| tub.subject.msc2000 | 49K20 Problems involving partial differential equations | en |
| tub.subject.msc2000 | 49K40 Sensitivity, stability, well-posedness | en |
| tub.subject.msc2000 | 35Q30 Stokes and Navier-Stokes equations | en |
| tub.subject.msc2000 | 76D55 Flow control and optimization | en |
| tub.subject.msc2000 | 90C31 Sensitivity, stability, parametric optimization | en |