Pattern Dynamics for Spatiotemporal Models on Growing Domains

Abstract:  We numerically investigate Turing pattern formation
in various systems of reaction diffusion equations in the presence
of growth and curvature.  A numerical solver was built that allows
for arbitrary reaction kinetics and various growth mechanisms in either
one or two spatial dimensions.   In addition to studying patterns on
growing intervals and rectangles, patterns were studied on domains such
as spheres, tori, cones, cylinders, and pinched cylinders, both with
and without grow.  This work is in collaboration with HMC undergraduate
Jeff Hellrung ('05).