  We study the nucleation and growth of flame fronts in slow combustion. This
is modeled by a set of reaction-diffusion equations for the temperature field,
coupled to a background of reactants and augmented by a term describing random
temperature fluctuations for ignition. We establish connections between this
model and the classical theories of nucleation and growth of droplets from a
metastable phase. Our results are in good argeement with theoretical
predictions.
