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Lectures on Mathematical Combustion

John D. Buckmaster and Geoffrey S. S. Ludford

CBMS-NSF Regional Conference Series in Applied Mathematics 43

An introduction to far-reaching developments in theoretical combustion, with special emphasis on flame stability, a topic that has, to date, benefited most from the application of modern asymptotic methods. The authors provide a modern view of flame theory, and a complete description of the longstanding ignition and explosion problems, including the solutions that were made available independently by Kapila and Kassoy through activation-energy asymptotics, the main theme of this monograph.


Pre-Asymptotic Combustion Revisited; Governing Equations, Asymptotics, and Deflagrations; General Deflagrations; SVFs and NEFs; Stability of the Plane Deflagration Wave; Cellular Flames; Pulsating Flames; Counterflow Diffusion Flames; Spherical Diffusion Flames; Free-Boundary Problems.

1983 / viii + 126 pages / Softcover / ISBN-13: 978-0-898711-86-8 / ISBN-10: 0-89871-186-X /
List Price $51.50 / SIAM/CBMS Member Price $36.05 / Order Code CB43
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Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Auckland, NZ.)