Pulsating Fronts in a 2D Reactive Boussinesq System

2013/05/21 by Christopher Henderson, Henderson, Christopher
Computer Science · Engineering · Mathematics · Medicine · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Stability and Controllability of Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1305.4692

35 pages, 3 figures

arxiv created 2013/05/21 · openalex publication_date 2013/05/21 · arxiv updated 2013/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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