Stable Stationary Patterns and Interfaces Arising in Reaction-Diffusion Systems
Yoshihito Oshita · SIAM Journal on Mathematical Analysis · 2004
We study reaction-diffusion systems with FitzHugh--Nagumo-type nonlinearity. We consider the rich structures of stable stationary solutions for two different parameter scalings with the corresponding limiting problems. We study the complex phase separation patterns and derive the stationary interface equation for the limiting problems.