Evans Function Stability of Combustion Waves
Authors:
- G. N. MercerGMG. N. Mercer
- H. S. SidhuHSH. S. Sidhu
- R. O. WeberRWR. O. Weber
- V. GubernovVGV. Gubernov
- 1 January 2003
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 63 (4) , 1259-1275
Abstract
In this paper we investigate the linear stability and properties, such as speed, of the planar travelling combustion front. The speed of the front is estimated both analytically, using the matched asymptotic expansion, and numerically, by means of the shooting and relaxation methods. The Evans function approach extended by the compound matrix method is employed to numerically solve the linear stability problem for the travelling wave solution.Keywords
This publication has 20 references indexed in Scilit:
- Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille flowProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2001
- Unsteady fronts in an autocatalytic systemProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1999
- Combustion waves for gases ( Le = 1) and solids ( Le →∞)Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1997
- Oscillatory instability of traveling waves for a KdV-Burgers equationPhysica D: Nonlinear Phenomena, 1993
- Stability of Planar Wave Solutions to a Combustion ModelSIAM Journal on Mathematical Analysis, 1990
- The compound matrix method for ordinary differential systemsJournal of Computational Physics, 1985
- Nonlinear Stability and Bifurcation in the Transition from Laminar to Turbulent Flame PropagationCombustion Science and Technology, 1983
- An initial value method for eigenvalue problems using compound matricesJournal of Computational Physics, 1979
- Diffusional-Thermal Theory of Cellular FlamesCombustion Science and Technology, 1977
- Asymptotic Analysis of Laminar Flame Propagation for General Lewis NumbersCombustion Science and Technology, 1970