Abstract
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.
Original language | English (US) |
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Pages (from-to) | 1781-1803 |
Number of pages | 23 |
Journal | Communications on Pure and Applied Mathematics |
Volume | 56 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2003 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics