TY  - JOUR
AV  - public
IS  - 1
N2  - In honor of the fiftieth anniversary of the Combustion Institute, we are asked to assess accomplishments of theory in combustion over the past fifty years and prospects for the future. The title of our article is chosen to emphasize that development of theory necessarily goes hand-in-hand with specification of a model. Good conceptual models underlie successful mathematical theories. Models and theories are discussed here for deflagrations, detonations, diffusion flames, ignition, propellant combustion, and turbulent combustion. In many of these areas, the genesis of mathematical theories occurred during the past fifty years, and in all of them significant advances are anticipated in the future. Increasing interaction between theory and computation will aid this progress. We hope that, although certainly not complete in topical coverage or reference citation, the presentation may suggest useful directions for future research in combustion theory.
UR  - http://www.sciencedirect.com/science/journal/15407489
EP  - 19
TI  - Combustion theory and modeling
A1  - Buckmaster, J.
A1  - Clavin, Paul
A1  - Liñán Martínez, Amable
A1  - Matalon, M.
A1  - Peters, N.
A1  - Sivashinsky, G.
A1  - Williams, F.A.
VL  - 30
SP  - 1
ID  - upm946
JF  - Proceedings of the Combustion Institute
Y1  - 2005/01//
KW  - Activation energy; Approximation theory; Detonation; Elasticity; Ignition; Mathematical models; Numerical analysis; Parameter estimation; Combustion theory; Mathematical theories; Mathematical tools; Propellents; Combustion
SN  - 1540-7489
ER  -