Fronts in Reactive Convection: Bounds, Stability, and Instability
Publication
, Journal Article
Constantin, P; Kiselev, A; Ryzhik, L
Published in: Communications on Pure and Applied Mathematics
December 1, 2003
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.
Duke Scholars
Published In
Communications on Pure and Applied Mathematics
DOI
ISSN
0010-3640
Publication Date
December 1, 2003
Volume
56
Issue
12
Start / End Page
1781 / 1803
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Constantin, P., Kiselev, A., & Ryzhik, L. (2003). Fronts in Reactive Convection: Bounds, Stability, and Instability. Communications on Pure and Applied Mathematics, 56(12), 1781–1803. https://doi.org/10.1002/cpa.10110
Constantin, P., A. Kiselev, and L. Ryzhik. “Fronts in Reactive Convection: Bounds, Stability, and Instability.” Communications on Pure and Applied Mathematics 56, no. 12 (December 1, 2003): 1781–1803. https://doi.org/10.1002/cpa.10110.
Constantin P, Kiselev A, Ryzhik L. Fronts in Reactive Convection: Bounds, Stability, and Instability. Communications on Pure and Applied Mathematics. 2003 Dec 1;56(12):1781–803.
Constantin, P., et al. “Fronts in Reactive Convection: Bounds, Stability, and Instability.” Communications on Pure and Applied Mathematics, vol. 56, no. 12, Dec. 2003, pp. 1781–803. Scopus, doi:10.1002/cpa.10110.
Constantin P, Kiselev A, Ryzhik L. Fronts in Reactive Convection: Bounds, Stability, and Instability. Communications on Pure and Applied Mathematics. 2003 Dec 1;56(12):1781–1803.
Published In
Communications on Pure and Applied Mathematics
DOI
ISSN
0010-3640
Publication Date
December 1, 2003
Volume
56
Issue
12
Start / End Page
1781 / 1803
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics