Traveling-Wave Solutions to Reaction-Diffusion Systems Modeling Combustion

摘要

We consider the deflagration-wave problem for a compressible reacting gas, with species involved in a single-step chemical reaction. In the limit of small Mach numbers, the one-dimensional traveling-wave problem reduces to a system of reaction-diffusion equations. Thermomechanical coefficients are temperature-dependent. Existence is proved by first considering the problem in a bounded domain, and taking an infinite-domain limit. In the singular limit of high activation energy in the Arrhenius exponential term, we prove strong convergence to a limiting free-boundary problem (discontinuity of the derivatives on the free boundary). (ERA citation 08:005795)