Persistent Link:
http://hdl.handle.net/10150/281957
Title:
LAYER PHENOMENA IN REACTION DIFFUSION SYSTEMS
Author:
Smock, Richard Courtney
Issue Date:
1981
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:
Under consideration are two-point boundary value problems for a system of second order differential equations which contains a small parameter multiplying the highest dereivatives. We prove the existence of solutions exhibiting left and right boundary layers by constructing upper and lower solutions of the system. The behavior of the solutions as the parameter tends to zero is also established. Of special interest is the existence of a compound boundary layer (i.e., one involving two scales) at the left endpoint of the interval.
Type:
text; Dissertation-Reproduction (electronic)
Keywords:
Boundary value problems.; Differential equations -- Asymptotic theory.
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Mathematics
Degree Grantor:
University of Arizona
Advisor:
Fife, Paul

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleLAYER PHENOMENA IN REACTION DIFFUSION SYSTEMSen_US
dc.creatorSmock, Richard Courtneyen_US
dc.contributor.authorSmock, Richard Courtneyen_US
dc.date.issued1981en_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.abstractUnder consideration are two-point boundary value problems for a system of second order differential equations which contains a small parameter multiplying the highest dereivatives. We prove the existence of solutions exhibiting left and right boundary layers by constructing upper and lower solutions of the system. The behavior of the solutions as the parameter tends to zero is also established. Of special interest is the existence of a compound boundary layer (i.e., one involving two scales) at the left endpoint of the interval.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.subjectBoundary value problems.en_US
dc.subjectDifferential equations -- Asymptotic theory.en_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorFife, Paulen_US
dc.identifier.proquest8116706en_US
dc.identifier.oclc8681403en_US
dc.identifier.bibrecord.b13903214en_US
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