Abstract
We study the dynamics of a wrinkled flame held downstream of a cold, isothermal, flat burner
The analysis is conducted in the framework of a thermal diffusional flame model. An Arrhenius rate with a large activation temperature and a single reactant with Lewis number unity are postulated
We show that the nonlinear evolution equation for the front shape and position is no longer local, neither in time nor in space, when the flame is sufficiently close to the burner surface.