Turing patterns in linear chemical reaction systems with nonlinear cross diffusion

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dc.contributor.authorFranz, David
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorRoussel, Marc R.
dc.date.accessioned2008-09-25T19:47:40Z
dc.date.available2008-09-25T19:47:40Z
dc.date.issued2007
dc.descriptionvi, 55 leaves : ill. ; 29 cm.en
dc.description.abstractTuring 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.identifier.urihttps://hdl.handle.net/10133/659
dc.language.isoen_USen
dc.publisherLethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2007en
dc.publisher.departmentDepartment of Chemistry and Biochemistryen
dc.publisher.facultyArts and Scienceen
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en
dc.subjectDissertations, Academicen
dc.subjectDiffusionen
dc.subjectPattern perceptionen
dc.subjectChemical reactionsen
dc.subjectNonlinear wavesen
dc.subjectNonlinear theoriesen
dc.subjectWave mechanicsen
dc.titleTuring patterns in linear chemical reaction systems with nonlinear cross diffusionen
dc.typeThesisen
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