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arXiv · 1809.03963

Curved fronts in a shear flow: case of combustion nonlinearities

Mohammad El Smaily
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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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Mohammad El Smaily. 2018-09-11. Curved fronts in a shear flow: case of combustion nonlinearities. https://doi.org/10.1088/1361-6544%2Faae6ae

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