Pulsating Fronts in a 2D Reactive Boussinesq System

الأصل · EN

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, fixed speed.