A GEOMETRIC SUFFICIENT CONDITION FOR EXISTENCE OF STABLE TRANSITION LAYERS FOR SOME REACTION-DIFFUSION EQUATIONS
Arnaldo Simal do Nascimento, Janete Crema · Matemática Contemporânea · 2004
Given a finite number of suitably distributed hypersurfaces in a bounded domain, we show how the spatial heterogeneities of a reaction-diffusion problem should depend on the geometry of the hypersurfaces in order to give rise to a one-parameter family of layered stable stationary solutions. These solutions in turn develop internal transition layers and have each hypersurface as an interface separating the regions where the solution is close to different constant equilibria. May, 2005 ICMC-USP