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Non-Planar Fronts in Boussinesq Reactive Flows

H. Berestycki·P. Constantin·L. Ryzhik
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Abstract

We consider the reactive Boussinesq equations in a slanted cylinder, with zero stress boundary conditions and arbitrary Rayleigh number. We show that the equations have non-planar traveling front solutions that propagate at a constant speed. We also establish uniform upper bounds on the burning rate and the flow velocity for general front-like initial data for the Cauchy problem.

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H. Berestycki, P. Constantin, L. Ryzhik. 2004-07-16. Non-Planar Fronts in Boussinesq Reactive Flows. https://arxiv.org/abs/math/0407303

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