Generation and Propagation of Interfaces in Reaction-diffusion Systems

@inproceedings{Chen2010GenerationAP,
title={Generation and Propagation of Interfaces in Reaction-diffusion Systems},
author={Xinfu Chen},
year={2010}
}

This paper is concerned with the asymptotic behavior, as e \ 0, of the solution (ue, Ve) of the second initial-boundary value problem of the reaction-diffusion system: J uÇ-eAu* = \f{uc,ve) = ±[ue(l -ue2)-ve], \ vf Ave = ue yve where y > 0 is a constant. When v € (-2\/3/9, 2\/3/9), / is bistable in the sense that the ordinary differential equation ut = f(u, v) has two stable solutions u = h-(v) and u = h+(v) and one unstable solution u = ho(v), where h-(v), h(¡(v), and h+(v) are the three… CONTINUE READING