Tolksdorf, Patrick (2017)
On the L^p-theory of the Navier-Stokes equation on Lipschitz domains.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung
Kurzbeschreibung (Abstract)
In this thesis, we investigate the Stokes operator on bounded Lipschitz domains in L^p. We proof important L^p-L^q-estimates for the Stokes semigroup as well as maximal regularity of the Stokes operator. These facts are used to derive the existence of solutions to the Navier-Stokes equations in L^p. Furthermore, we show that the techniques to derive the maximal regularity can be used in a simplified way in order to prove maximal regularity of higher-order elliptic systems subject to mixed boundary conditions.
| Typ des Eintrags: | Dissertation | ||||
|---|---|---|---|---|---|
| Erschienen: | 2017 | ||||
| Autor(en): | Tolksdorf, Patrick | ||||
| Art des Eintrags: | Erstveröffentlichung | ||||
| Titel: | On the L^p-theory of the Navier-Stokes equation on Lipschitz domains | ||||
| Sprache: | Englisch | ||||
| Referenten: | Haller-Dintelmann, Prof. Dr. Robert ; Farwig, Prof. Dr. Reinhard ; Saal, Prof. Dr. Jürgen | ||||
| Publikationsjahr: | 2017 | ||||
| Ort: | Darmstadt | ||||
| Datum der mündlichen Prüfung: | 31 August 2016 | ||||
| URL / URN: | http://tuprints.ulb.tu-darmstadt.de/5960 | ||||
| Kurzbeschreibung (Abstract): | In this thesis, we investigate the Stokes operator on bounded Lipschitz domains in L^p. We proof important L^p-L^q-estimates for the Stokes semigroup as well as maximal regularity of the Stokes operator. These facts are used to derive the existence of solutions to the Navier-Stokes equations in L^p. Furthermore, we show that the techniques to derive the maximal regularity can be used in a simplified way in order to prove maximal regularity of higher-order elliptic systems subject to mixed boundary conditions. |
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| Alternatives oder übersetztes Abstract: |
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| URN: | urn:nbn:de:tuda-tuprints-59609 | ||||
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik 500 Naturwissenschaften und Mathematik > 530 Physik |
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| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik > Analysis > Angewandte Analysis 04 Fachbereich Mathematik > Analysis 04 Fachbereich Mathematik |
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| Hinterlegungsdatum: | 05 Feb 2017 20:55 | ||||
| Letzte Änderung: | 05 Feb 2017 20:55 | ||||
| PPN: | |||||
| Referenten: | Haller-Dintelmann, Prof. Dr. Robert ; Farwig, Prof. Dr. Reinhard ; Saal, Prof. Dr. Jürgen | ||||
| Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 31 August 2016 | ||||
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| Suche nach Titel in: | TUfind oder in Google | ||||
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