Reaction diffusion in fast steady flow

This note is concerned with the speed of propagation of a chemical reaction in a fast, steady and nonuniform flow which may apply to flame propagation in some instances. The structure of the flow is: (1) a parallel shear flow with velocity perpendicular to the average front, where the flame speed is close to the maximum flow speed toward the fresh gases; (2) a periodic cel lular structure where the speed of propagation of the reaction grows like t he fourth root of the fluid speed (C) 2000 Academie des sciences/Editions s cientifiques et medicales Elsevier SAS.