Reductive Perturbation Approach to Chemical Instabilities

Abstract

The description of.the gr~wth of unstable modes and the subsequent appearance of the dissipative structure in far-from-equilibrium situation would .become far transparent if one could find near and above the instability threshold a highly reduced form of the original kinetic equations. In hydrodynamics, such equations have been derived by Segelll and generalized later by Newell and Whitehead 2 ' in order to study the post-critical Benard convection. The method employed by them is the so-called reductive perturbation.s' In this approach, the existence-