Existence of traveling waves in the Stokes-Boussinesq system for reactive flows

We consider the Stokes-Boussinesq equations in a slanted (that is, not aligned with gravity's direction) cylinder of any dimension and with an arbitrary Rayleigh number. We prove the existence of a non-planar traveling wave solution, propagating at a constant speed, and satisfying the Dirichlet boundary condition in the velocity and the Neumann condition in the temperature. (c) 2007 Elsevier Inc. All rights reserved.