Lectures on mathematical combustion : given during a CBMS-NSF Regional Conference held at Colorado State University in june 1982

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. Lectures on Mathematical Combustion......Page 3 ISBN: 0-89871-186-X......Page 4 Contents......Page 5 Preface......Page 9 1 Pre-asymptotic Combustion Revisited......Page 11 2 Governing Equations, Asymptotics, and Deflagrations......Page 23 3 General Deflagrations......Page 33 4 SVFs and NEFs......Page 43 5 Stability of the Plane Deflagration Wave......Page 55 6 Cellular Flames......Page 67 7 Pulsating Flames......Page 81 8 Counterflow Diffusion Flames......Page 95 9 Spherical Diffusion Flames......Page 107 10 Free-Boundary Problems......Page 119 References......Page 135 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. J.d. Buckmaster And G.s.s. Ludford. The Written Version Of Ten Lectures On Mathematical Combustion Given During A Cbms-nsf Regional Conference Held At Colorado State University In June 1982--pref. Bibliography: P. 125-126.