Lectures in Applied Mathematics 1986; 512 pp; hardcover Volume: 24 ISBN10: 0821811274 ISBN13: 9780821811276 List Price: US$78 Member Price: US$62.40 Order Code: LAM/24.1
This item is also sold as part of the following set: LAM/24  These two volumes represent the culmination of the Special Year `84'85 in Reacting Flows held at Cornell University. As the proceedings of the 1985 AMS/SIAM Summer Seminar in Applied Mathematics, the volumes focus on both mathematical and computational questions in combustion and chemical reactors. They are addressed to researchers and graduate students in the theory of reacting flows. Together they provide a sound basis and many incentives for future research, especially in computational aspects of reacting flows. Although the theory of reacting flows has developed rapidly, researchers in the two subareas of combustion and chemical reactors have not communicated. The main goal of this seminar was to synthesize the mathematical theory and bring it to the interface with largescale computing. All of the papers have high research value, but the first five introductory lectures should be especially noted. Readership Table of Contents Part 1: Introduction  G. S. Ludford S.  Low Mach number combustion
 R. Aris  The mathematical background of chemical reactor analysis. II. The stirred tank
 A. Majda  High Mach number combustion
 H. A. Dwyer, A. Lutz, and R. J. Kee  Numerical calculation of the interaction of pressure waves
 A. F. Ghoniem  Computational methods in turbulent reacting flow
Combustion  A. C. McIntosh  Flame resonance and acoustics in the presence of heat loss
 D. W. Mikolaitis  The asymptotic analysis of ignition events with detailed kinetics
 T. L. Jackson and A. K. Kapila  Thermal expansion effects on perturbed premixed flames: a review
 F. J. Higuera and A. Linan  Modeling endgas knock in a rapidcompression machine: review and extension
 S. B. Margolis and R. C. Armstrong  Two asymptotic models for solid propellant combustion
 D. S. Stewart  Plane shock initiation of homogeneous and heterogeneous condensed phase. Explosives with a sensitive rate
 J. D. Buckmaster  The structure and stability of plane detonation waves for large activation energy
 R. R. Rosales  Stability theory for shocks in reacting media: Mach stems in detonation waves
 F. A. Williams  Roles of perturbation methods for turbulent diffusion flame
 J. Buckmaster and N. Peters  The lifting of turbulent diffusion flames and the noise they make
Part 2: Chemical reactors  J. M. Vega and I. E. Parra  Stability and Hopf bifurcation in isothermal catalysts
 J. Puszynski, J. Degreve, S. Kumar, and V. Hlavacek  Propagation of reaction fronts in exothermic heterogeneous noncatalytic systems solidsolid and solidgas
 A. Varma  Optimal catalyst activity profiles in pellets
 T. A. Bak and L. Binglin  Polymerization reactions in closed and open systems
 R. Raschman, I. Schreiber, and M. Marek  Periodic and aperiodic regimes in linear and cyclic arrays of coupled reactiondiffusion cells
 J. B. Planeaux, K. F. Jensen, and W. W. Farr  Dynamic behavior of continuous stirredtank reactors with extraneous thermal capacitance
 V. Balakotaiah  Steadystate multiplicity features of open chemically reacting systems
 J. Guckenheimer  Global bifurcations in simple models of a chemical reactor
 L. M. Pismen  Methods of singularity theory in the analysis of dynamics of reactive systems
Mathematical questions  J. Bebernes and D. Kassoy  Solution profiles and thermal runaway
 D. H. Wagner  Premixed laminar flames as travelling waves
 M. Marion  Mathematical study of a model with no ignition temperature for laminar plane flames
 P. Embid  Wellposedness of the nonlinear equations for zero Mach number combustion
 P. C. Fife and B. Nicolaenko  Flame structure for reaction networks with chain branching and recombination
 B. L. Keyfitz, M. Golubitsky, M. Gorman, and P. Chosset  The use of symmetry and bifurcation techniques in studying flame stability
 R. Alexander  Mathematical analysis of tubular reactors
 G. C. Wake, J. G. GrahamEagle, and B. F. Gray  Oscillating chemical reactions: the wellstirred and spatially distributed class
 I. Müller  A systematic derivation of the constitutive properties of mixtures of viscousheat conducting fluids
Computational question  V. Giovangigli and M. D. Smooke  Calculation of extinction limits for premixed laminar flames in a stagnation point flow
 M. Sermange  Contribution to the numerical analysis of laminar stationary flames
 B. Larrouturou  Adaptive numerical methods for unsteady flame propagation
 R. D. Janssen and P. J. O'Rourke  Using computers to answer fundamental questions in combustion theory: an example from droplet combustion
 P. Colella, A. Majda, and V. Roytburd  actional step methods for reacting shock waves
 M. R. Baer, R. E. Benner, R. J. Gross, and J. W. Nunziato  Modelling and computation of deflagrationtodetonation transition (DDT) in reactive granular materials
 H. Rabitz  On determining important aspects of combustion kinetics modelling with sensitivity analysis
 S. H. Lam  Singular perturbation for stiff equations using numerical computations
