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Turing patterns in linear chemical reaction systems with nonlinear cross diffusion

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dc.contributor.advisor Roussel, Marc
dc.contributor.author Franz, David
dc.contributor.author University of Lethbridge. Faculty of Arts and Science
dc.date.accessioned 2008-09-25T19:47:40Z
dc.date.available 2008-09-25T19:47:40Z
dc.date.issued 2007
dc.identifier.uri http://hdl.handle.net/10133/659
dc.description vi, 55 leaves : ill. ; 29 cm. en
dc.description.abstract 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. en
dc.language.iso en_US en
dc.publisher Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2007 en
dc.relation.ispartofseries Thesis (University of Lethbridge. Faculty of Arts and Science) en
dc.subject Dissertations, Academic en
dc.subject Electronic dissertations en
dc.subject Diffusion en
dc.subject Pattern perception en
dc.subject Chemical reactions en
dc.subject Nonlinear waves en
dc.subject Nonlinear theories en
dc.subject Wave mechanics en
dc.title Turing patterns in linear chemical reaction systems with nonlinear cross diffusion en
dc.type Thesis en
dc.publisher.faculty Arts and Science en
dc.publisher.department Department of Chemistry and Biochemistry en

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