Non-Planar Fronts in Boussinesq Reactive Flows

Details Non-Planar Fronts in Boussinesq Reactive Flows Non-Planar Fronts in Boussinesq Reactive Flows

2004-07-16

arxiv.org/abs/math/0407303v1

Mathematics

Analysis of PDEs

Scientific paper

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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