Gries, Mathis Yannik (2018)
On the primitive equations and the hydrostatic Stokes operator.
Technische Universität Darmstadt
Dissertation, Erstveröffentlichung
Kurzbeschreibung (Abstract)
The primitive equations for the atmosphere and ocean, as well as its linearization, called the hydrostatic Stokes equation, are considered. The study of the latter problem in spaces of Lp- and anisotropic Lp-type yields results such as parabolic decay estimates as well as the property of maximal regularity. Applying these results to the full nonlinear problem yields the existence of unique global strong solutions to the primitive equations for a large class of initial data.
| Typ des Eintrags: | Dissertation | ||||
|---|---|---|---|---|---|
| Erschienen: | 2018 | ||||
| Autor(en): | Gries, Mathis Yannik | ||||
| Art des Eintrags: | Erstveröffentlichung | ||||
| Titel: | On the primitive equations and the hydrostatic Stokes operator | ||||
| Sprache: | Englisch | ||||
| Referenten: | Hieber, Prof. Dr. Matthias ; Giga, Prof. Dr. Yoshikazu | ||||
| Publikationsjahr: | 2018 | ||||
| Ort: | Darmstadt | ||||
| Datum der mündlichen Prüfung: | 5 Juli 2018 | ||||
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/7675 | ||||
| Kurzbeschreibung (Abstract): | The primitive equations for the atmosphere and ocean, as well as its linearization, called the hydrostatic Stokes equation, are considered. The study of the latter problem in spaces of Lp- and anisotropic Lp-type yields results such as parabolic decay estimates as well as the property of maximal regularity. Applying these results to the full nonlinear problem yields the existence of unique global strong solutions to the primitive equations for a large class of initial data. |
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| Alternatives oder übersetztes Abstract: |
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| URN: | urn:nbn:de:tuda-tuprints-76754 | ||||
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Analysis 04 Fachbereich Mathematik > Analysis > Angewandte Analysis 04 Fachbereich Mathematik > Analysis > Partielle Differentialgleichungen und Anwendungen |
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| Hinterlegungsdatum: | 26 Aug 2018 19:55 | ||||
| Letzte Änderung: | 26 Aug 2018 19:55 | ||||
| PPN: | |||||
| Referenten: | Hieber, Prof. Dr. Matthias ; Giga, Prof. Dr. Yoshikazu | ||||
| Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 5 Juli 2018 | ||||
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| Suche nach Titel in: | TUfind oder in Google | ||||
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