Singular Limit for Stochastic Reaction-Diffusion Equation and Generation of Random Interfaces
Funaki · Acta Scientiarum Naturalium Universitatis Sunyatseni · 1999
Singular limit is investigated for reaction-diffusion equations with an additive noise in abounded domain of R~2. The solution converges to one of the two stable phases {+1, -1} determinedfrom the reaction term; accordingly a phase separation curve is generated in the limit. We shall derivea randomly perturbed motion by curvature for the dynamics of the phase separation curve.