| Cañizares García, Ana (2017): On a stochastic particle model of the Keller-Segel equation and its macroscopic limit. Dissertation, LMU München: Faculty of Mathematics, Computer Science and Statistics |
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Canizares_Garcia_Ana.pdf 531kB |
DOI: 10.5282/edoc.20937
Abstract
The aim of this thesis is to derive the two-dimensional Keller-Segel equation for chemo- taxis from a stochastic system of N interacting particles in the situation in which bounded solutions are guaranteed to exist globally in time, that is in the case of subcritical chemo- sensitivity
Abstract
Ziel dieser Arbeit ist die Herleitung der zwei-dimensionalen Keller-Segel Gleichung für Chemotaxis aus einem wechselwirkenden, stochastischen N-Teilchen System, wenn die Existenz von beschränkten, für alle Zeiten definierten Lösungen vorgegeben ist. Dies entspricht dem unterkritischen Fall
| Item Type: | Theses (Dissertation, LMU Munich) |
|---|---|
| Keywords: | Keller-Segel equation, propagation of chaos, mean-field limit, chemotaxis, Coulomb interaction |
| Faculties: | Faculty of Mathematics, Computer Science and Statistics |
| Language: | English |
| Date of oral examination: | 29. June 2017 |
| 1. Referee: | Pickl, Peter |
| MD5 Checksum of the PDF-file: | b4541f02ae54892522d429eebf51659c |
| Signature of the printed copy: | 0001/UMC 24796 |
| ID Code: | 20937 |
| Deposited On: | 19. Jul 2017 07:20 |
| Last Modified: | 23. Oct 2020 19:03 |
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