Excerpt from Lectures on Combustion Theory
This volume contains the elaborations of lectures at a seminar held at the Courant Institute in the spring of 1977 on the mathematical aspects of combustion. The purpose of the seminar was to put the achievements and problems of combustion theory into sharp focus and to bring them to the attention of the mathematical community, in the hope that, just as in the past, mathematical methods will shed light on these theories, and that mathematical ideas will lead to new and efficient computational procedures.
The first half of the semester was devoted to subjects that were reasonably well understood as mathematics; the speakers were mathematicians. After the spring recess the seminar was devoted to subjects not yet mathematically digested; among the speakers there were engineers, chemists, and physicists with sympathy in their hearts for mathematics.
The first part starts with a paper by Peter D. Lax which is a review of those numerical methods in fluid dynamics that are especially promising for reacting flows. This is followed by a report prepared by K. O. Friedrichs for the Navy in 1946, edited and presented by Gary A. Sod. The third paper by Peter D. Lax is a brief introduction to chemical kinetics, followed by papers by Alexandre Chorin, of the University of California at Berkeley, on reactive flows, by Gary A. Sod on a first step to modeling flows in an engine, and by Samuel Z. Burstein on combustion instability.
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