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On the existence and uniqueness of solutions to a singular nonlinear boundary value problem arising in isothermal autocatalytic chemical kinetics

Published online by Cambridge University Press:  20 January 2009

D. J. Needham  and
A. C. King
D. J. Needham
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ
A. C. King
Affiliation:
Department of Mathematics, University of Keele, Keele, Staffordshire ST5 5BG
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Abstract

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In this paper we consider the questions of existence and uniqueness of solutions to a singular, nonlinear boundary value problem arising from a model problem in isothermal autocatalytical chemical kinetics. The boundary value problem occurs in the construction of a small time asymptotic solution to an initial-boundary value problem (King and Needham [14]), and existence and uniqueness for the boundary value problem are required for consistency of this formal asymptotic solution.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 36 , Issue 3 , October 1993 , pp. 479 - 500
Copyright
Copyright © Edinburgh Mathematical Society 1993

References

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