1er Symposium canadien en analyse numérique et calcul scientifique
Geometric Interface Problems in Reaction Diffusion Systems
Moyles, Iain, Michael Ward and Brian R. Wetton
University of British Columbia

In this talk we consider a hybrid asymptotic-numerical analysis of reaction diffusion systems with sharp transitions across interfaces formed by closed curves. Without certain criterion on the kinetics, these solutions may undergo strong amplitude perturbations on an O(1) time scale, leading to a dissociation of the curve into localized spots. However, if the kinetics are such that these interface solutions are stable, we may cast the problem for the slower dynamics by formulating an effective Stefan problem for the interface. We present preliminary results for conditions of O(1) time stability as well as the Stefan conditions that move the interface.

Lundi, 17 juin, 10h30
Salle Des Plaines B