Derivation of a Nonlinear Front Evolution Equation for Chemical Waves Involving Convection
The nonlinear stability of exothermic autocatalytic reaction fronts is considered using the viscous thermohydrodynamic fluid equations in the limits of infinite and zero thermal diffusivity. A nonlinear front evolution equation is derived using asymptotic analysis and is solved for an ascending front. The method used is similar to that which has been used in the derivation of a front equation for flame propagation.
"Derivation of a nonlinear front evolution equation for chemical waves involving convection," J. W. Wilder, B. F. Edwards, D. A. Vasquez, and G. I. Sivashinsky, Physica D 73, 217 (1994) .