Fronts in Reactive Convection: Bounds, Stability, and Instability


Journal Article

This paper examines a simplified active combustion model in which the reaction influences the flow. We consider front propagation in a reactive Boussinesq system in an infinite vertical strip. Nonlinear stability of planar fronts is established for narrow domains when the Rayleigh number is not too large. Planar fronts are shown to be linearly unstable with respect to long-wavelength perturbations if the Rayleigh number is sufficiently large. We also prove uniform bounds on the bulk burning rate and the Nusselt number in the KPP reaction case. © 2003 Wiley Periodicals, Inc.

Full Text

Duke Authors

Cited Authors

  • Constantin, P; Kiselev, A; Ryzhik, L

Published Date

  • December 1, 2003

Published In

Volume / Issue

  • 56 / 12

Start / End Page

  • 1781 - 1803

International Standard Serial Number (ISSN)

  • 0010-3640

Digital Object Identifier (DOI)

  • 10.1002/cpa.10110

Citation Source

  • Scopus