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Applied Mathematics Colloquium

Friday, November 4,  2005, 11:30 am
Cullimore Lecture Hall II
New Jersey Institute of Technology

Detonation and deflagration in porous media combustion

Peter Gordon

Department of Mathematical Sciences

NJIT

Newark, New Jersey

Abstract

Gaseous detonation is a phenomenon with a very complicated dynamics. The mathematical study of the qualitative behavior of solutions of the full problem is out of reach at the moment. Explosions in inert porous media provide a model that is realistic, rich and suitable for a mathematical analysis. We will present some recent mathematical results concerning the long time behavior of solutions of this model. In particular, initiation of detonation, formation of the detonation front, its stability and propagation limits will be discussed.