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An important new area of current research in combustion science is
reviewed in the contributions to this volume. The complicated
phenomena of combustion, such as chemical reactions, heat and mass
transfer, and gaseous flows, have so far been studied predominantly
by experiment and by phenomenological approaches. But asymptotic
analysis and other recent developments are rapidly changing this
situation. The contributions in this volume are devoted to
mathematical modeling in three areas: high Mach number combustion,
complex chemistry and physics, and flame modeling in small scale
turbulent flow combustion.
This book delves into the rapidly changing area of combustion, in
which asymptotic methods and bifurcation theory have made a
significant impact as have the constant-density, small-heat-release
models and other important contributions.
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.
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