Non-Planar Fronts in Boussinesq Reactive Flows
  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. 
H. Berestycki, P. Constantin and L. Ryzhik