Pulsating Fronts in a 2D Reactive Boussinesq System

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, fixed speed.

35 pages, 3 figures

References in corpus (1)

• On the existence of traveling waves in the 3D Boussinesq system