He. Ferrari et Dh. Zanette, THERMAL-ACTIVATION EFFECTS IN REACTION-DIFFUSION MODELS - A 2-COMPONENT BISTABLE SYSTEM .1., Physica. A, 233(1-2), 1996, pp. 407-418
We study a two-component bistable reaction-diffusion system arising in
a model for a simple reversible chemical reaction subject to the effe
ct of thermal activation and energy production and dissipation. Some m
athematical simplications enables the analytical resolution of the cor
responding reaction-diffusion equation set in a variety of situations.
As a first step, we analyze the evolution of the system in spatially
homogeneous conditions. This makes it possible to detect the parameter
regions where bistability occurs, identifying the physical conditions
under which two stable states exist. Then, we study shape-preserving
wave-front solutions. These fronts should stand for the motion of doma
in walls, formed during the self-organizing stage of the evolution.