THE STRUCTURE AND PROPERTIES OF AN APPROXIMATE SOLUTION TO A SYSTEM OF REACTION-DIFFUSION EQUATIONS.
dc.contributor.advisor | Fife, Paul C. | en_US |
dc.contributor.author | ROTEN, CHARLES DAVID. | |
dc.creator | ROTEN, CHARLES DAVID. | en_US |
dc.date.accessioned | 2011-10-31T18:49:02Z | en |
dc.date.available | 2011-10-31T18:49:02Z | en |
dc.date.issued | 1984 | en_US |
dc.identifier.uri | http://hdl.handle.net/10150/187706 | en |
dc.description.abstract | Several formal asymptotic expansions for a pair of coupled reaction-diffusion equations, constructed by Kapila and Aris for small time and large time, assuming discontinuous initial data, are rigorously justified. The system studied models the diffusion and reaction of chemical species, where the reaction is of the form A + B → C. The solution of the system can be represented as a power series expansion in time, which is shown to converge for time → ∞. A number of other mathematical questions associated with the asymptotic expansions, such as existence, uniqueness, and boundedness of solutions to various nonlinear equations, are studied. | |
dc.language.iso | en | en_US |
dc.publisher | The University of Arizona. | en_US |
dc.rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. | en_US |
dc.title | THE STRUCTURE AND PROPERTIES OF AN APPROXIMATE SOLUTION TO A SYSTEM OF REACTION-DIFFUSION EQUATIONS. | en_US |
dc.type | text | en_US |
dc.type | Dissertation-Reproduction (electronic) | en_US |
thesis.degree.grantor | University of Arizona | en_US |
thesis.degree.level | doctoral | en_US |
dc.identifier.proquest | 8415078 | en_US |
thesis.degree.discipline | Mathematics | en_US |
thesis.degree.discipline | Graduate College | en_US |
thesis.degree.name | Ph.D. | en_US |
refterms.dateFOA | 2018-08-24T01:00:13Z | |
html.description.abstract | Several formal asymptotic expansions for a pair of coupled reaction-diffusion equations, constructed by Kapila and Aris for small time and large time, assuming discontinuous initial data, are rigorously justified. The system studied models the diffusion and reaction of chemical species, where the reaction is of the form A + B → C. The solution of the system can be represented as a power series expansion in time, which is shown to converge for time → ∞. A number of other mathematical questions associated with the asymptotic expansions, such as existence, uniqueness, and boundedness of solutions to various nonlinear equations, are studied. |