Mohammad El Smaily
Published 2018-09-11Version 1
We prove the existence and uniqueness, up to a shift in time, of curved traveling fronts for a reaction-advection-diffusion equation with a combustion-type nonlinearity. The advection is through a shear flow $q$. This analyzes, for instance, the shape of flames produced by a Bunsen burner in the presence of advection. We also give a formula for the speed of propagation of these conical fronts in terms of the well-known speed of planar pulsating traveling waves.
Curved fronts of bistable reaction-diffusion equations in spatially periodic media: $N\ge 2$
Speed-up of combustion fronts in shear flows
Exponential mixing by shear flows
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