Kreß, Klaus (2020)
Time-Periodic Solutions to Bidomain, Chemotaxis-Fluid, and Q-Tensor Models.
Technische Universität Darmstadt
doi: 10.25534/tuprints-00013505
Ph.D. Thesis, Primary publication
Abstract
The main objective of this thesis is the investigation of different models arising from mathematical biology and fluid mechanics in the time-periodic setting. We consider the classical Keller-Segel model for chemotaxis as well as its coupling to a fluid whose motion is described by the Navier-Stokes equations. The second model we investigate is the bidomain system which describes the propagation of electrophysiological waves in the heart. The last model considered is the Beris-Edwards model of nematic liquid crystals.
| Item Type: | Ph.D. Thesis | ||||
|---|---|---|---|---|---|
| Erschienen: | 2020 | ||||
| Creators: | Kreß, Klaus | ||||
| Type of entry: | Primary publication | ||||
| Title: | Time-Periodic Solutions to Bidomain, Chemotaxis-Fluid, and Q-Tensor Models | ||||
| Language: | English | ||||
| Referees: | Hieber, Prof. Dr. Matthias ; Farwig, Prof. Dr. Reinhard | ||||
| Date: | 2020 | ||||
| Place of Publication: | Darmstadt | ||||
| Refereed: | 13 July 2020 | ||||
| DOI: | 10.25534/tuprints-00013505 | ||||
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/13505 | ||||
| Abstract: | The main objective of this thesis is the investigation of different models arising from mathematical biology and fluid mechanics in the time-periodic setting. We consider the classical Keller-Segel model for chemotaxis as well as its coupling to a fluid whose motion is described by the Navier-Stokes equations. The second model we investigate is the bidomain system which describes the propagation of electrophysiological waves in the heart. The last model considered is the Beris-Edwards model of nematic liquid crystals. |
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| URN: | urn:nbn:de:tuda-tuprints-135050 | ||||
| Classification DDC: | 500 Science and mathematics > 510 Mathematics | ||||
| Divisions: | 04 Department of Mathematics 04 Department of Mathematics > Analysis 04 Department of Mathematics > Analysis > Angewandte Analysis 04 Department of Mathematics > Analysis > Partial Differential Equations and Applications |
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| Date Deposited: | 30 Sep 2020 11:26 | ||||
| Last Modified: | 06 Oct 2020 07:03 | ||||
| PPN: | |||||
| Referees: | Hieber, Prof. Dr. Matthias ; Farwig, Prof. Dr. Reinhard | ||||
| Refereed / Verteidigung / mdl. Prüfung: | 13 July 2020 | ||||
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| Suche nach Titel in: | TUfind oder in Google | ||||
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