Abstract
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.
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