THE STRUCTURE AND PROPERTIES OF AN APPROXIMATE SOLUTION TO A SYSTEM OF REACTION-DIFFUSION EQUATIONS.

Persistent Link:
http://hdl.handle.net/10150/187706
Title:
THE STRUCTURE AND PROPERTIES OF AN APPROXIMATE SOLUTION TO A SYSTEM OF REACTION-DIFFUSION EQUATIONS.
Author:
ROTEN, CHARLES DAVID.
Issue Date:
1984
Publisher:
The University of Arizona.
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.
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.
Type:
text; Dissertation-Reproduction (electronic)
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Mathematics; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Fife, Paul C.

Full metadata record

DC FieldValue Language
dc.language.isoenen_US
dc.titleTHE STRUCTURE AND PROPERTIES OF AN APPROXIMATE SOLUTION TO A SYSTEM OF REACTION-DIFFUSION EQUATIONS.en_US
dc.creatorROTEN, CHARLES DAVID.en_US
dc.contributor.authorROTEN, CHARLES DAVID.en_US
dc.date.issued1984en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © 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.description.abstractSeveral 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.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorFife, Paul C.en_US
dc.identifier.proquest8415078en_US
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