Turing patterns have been studied for over 50 years as a pattern forming mechanism.
To date the current focus has been on the reaction mechanism, with little to no
emphasis on the diffusion terms.
This work focuses on combining the simplest reaction mechanism possible and
the use of nonlinear cross diffusion to form Turing patterns. We start by using two
methods of bifurcation analysis to show that our model can form a Turing instability.
A diffusion model (along with some variants) is then presented along with the results
of numerical simulations. Various tests on both the numerical methods and the model
are done to ensure the accuracy of the results. Finally an additional model that is
closed to mass flow is introduced along with preliminary results. / vi, 55 leaves : ill. ; 29 cm.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:ALU.w.uleth.ca/dspace#10133/659 |
| Date | January 2007 |
| Creators | Franz, David, University of Lethbridge. Faculty of Arts and Science |
| Contributors | Roussel, Marc |
| Publisher | Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2007, Arts and Science, Department of Chemistry and Biochemistry |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
| Relation | Thesis (University of Lethbridge. Faculty of Arts and Science) |
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