Abstract
We consider a reactive Boussinesq system with no stress boundary conditions in a periodic domain which is unbounded in one direction. Specifically, we couple the reaction-advection-diffusion equation for the temperature, T, and the linearized Navier-Stokes equation with the Boussinesq approximation for the fluid flow, u. We show that this system admits smooth pulsating front solutions that propagate with a positive speed.
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