Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A mathematical problem from detonation theory

Author: Wildon Fickett
Journal: Quart. Appl. Math. 46 (1988), 459-471
MSC: Primary 76L05; Secondary 73D05, 80A25
DOI: https://doi.org/10.1090/qam/963582
MathSciNet review: 963582
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Abstract: A simplified abstraction of a partial-differential-equation problem which appears in the study of small perturbations on a detonation wave is studied. The interesting feature of this problem is that the function representing the unknown values of the dependent variable on one boundary appears as a source term in the partial differential equation. This unknown boundary function turns out to be the solution of an ordinary differential-difference equation. We study the properties of this differential-difference equation, and also present some representative solutions of the complete problem.

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DOI: https://doi.org/10.1090/qam/963582
Article copyright: © Copyright 1988 American Mathematical Society

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