UBC Math Department Colloquium: Laurent Charette

Motivated by cotyledon patterns in conifer embryos, we study pattern emergence in solutions of systems reaction-diffusion partial differential equations on evolving curved surfaces. We start by reviewing results on a static domain. Then, we go over the reduction to a non-autonomous normal form in the case of a flattening spherical cap. Finally we show numerical results, using the closest point method, for a variety of different surfaces.