Regularity of the adjoint state for the instationary Navier-Stokes equations
| dc.contributor.author | Rösch, Arnd | |
| dc.contributor.author | Wachsmuth, Daniel | |
| dc.date.accessioned | 2021-12-17T10:06:11Z | |
| dc.date.available | 2021-12-17T10:06:11Z | |
| dc.date.issued | 2004-04-14 | |
| dc.description.abstract | In this article, we are considering imbeddings of abstract functions in spaces of functions being continuous in time. A family of functions depending on certain parameters is discussed in detail. In particular, this example shows that such functions do not belong to the space $C([0,T],H)$. In the second part, we investigate an optimal control problem for the instationary Navier-Stokes equation. We will answer the question, in which sense the initial value problem for the adjoint equation can be solved. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15542 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14315 | |
| 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 | vector-valued functions | en |
| dc.subject.other | imbeddings | en |
| dc.subject.other | optimal control | en |
| dc.subject.other | Navier-Stokes equations | en |
| dc.subject.other | regularity of adjoints | en |
| dc.title | Regularity of the adjoint state for the instationary 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 | 2004, 10 | en |
| tub.series.name | Preprint-Reihe des Instituts fĂ¼r Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 46E40 Spaces of vector- and operator-valued functions | en |
| tub.subject.msc2000 | 49N60 Regularity of solutions | en |
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