Tolksdorf, Patrick (2017)
On the L^p-theory of the Navier-Stokes equation on Lipschitz domains.
Technische Universität Darmstadt
Ph.D. Thesis, Primary publication
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| Item Type: | Ph.D. Thesis | ||||
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| Type of entry: | Primary publication | ||||
| Title: | On the L^p-theory of the Navier-Stokes equation on Lipschitz domains | ||||
| Language: | English | ||||
| Referees: | Haller-Dintelmann, Prof. Dr. Robert ; Farwig, Prof. Dr. Reinhard ; Saal, Prof. Dr. Jürgen | ||||
| Date: | 2017 | ||||
| Place of Publication: | Darmstadt | ||||
| Date of oral examination: | 31 August 2016 | ||||
| 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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| URN: | urn:nbn:de:tuda-tuprints-59609 | ||||
| Classification DDC: | 500 Science and mathematics > 510 Mathematics 500 Science and mathematics > 530 Physics |
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| Divisions: | 04 Department of Mathematics > Analysis > Angewandte Analysis | ||||
| Date Deposited: | 02 Feb 2017 14:23 | ||||
| Last Modified: | 02 Feb 2017 14:23 | ||||
| URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/5960 | ||||
| PPN: | 399213163 | ||||
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