Multiplicity of solutions of a nonlinear boundary value problem arising in combustion theory : a thesis presented to Massey University of Palmerston North in partial fulfilment of the thesis requirement for the degree of Master of Science in Mathematics

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dc.contributor.authorKelly, Patrick Joseph
dc.date.accessioned2019-06-20T23:19:16Z
dc.date.available2019-06-20T23:19:16Z
dc.date.issued1992
dc.description.abstractThe problem of self-heating in spherical and spherically annular domains is addressed in this thesis. In particular, the Frank-Kamenetskii model is used to investigate the multiplicity of steady state solutions in these geometries. The differential equations describing this model depend crucially on a parameter, the "Frank-Kamenetskii" parameter; for spherical geometries it is known that: (a) a unique solution exists for sufficiently small parameter values, (b) there is a value of the parameter such that an infinite number of solutions exist. A convergent infinite series solution is developed for the problem in a spherical domain. The multiplicity of solutions when the problem is posed in spherically annular domains is then explored. It is shown, in contrast to (b), that multiple solutions exist for arbitrarily small parameter values and that no value of the parameter produces infinite multiplicity.en_US
dc.identifier.urihttp://hdl.handle.net/10179/14701
dc.language.isoenen_US
dc.publisherMassey Universityen_US
dc.rightsThe Authoren_US
dc.subjectCombustionen_US
dc.titleMultiplicity of solutions of a nonlinear boundary value problem arising in combustion theory : a thesis presented to Massey University of Palmerston North in partial fulfilment of the thesis requirement for the degree of Master of Science in Mathematicsen_US
dc.typeThesisen_US
massey.contributor.authorKelly, Patrick Joseph
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorMassey Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Science (M. Sc.)en_US
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