We model the dynamics of the concentrations of chemical which are involved in aqueous chemical reactions. In particular, we focus our interest in understanding the mechanism behind the dynamics of the coupling which occurs between reactive and diffusive mechanisms which occur on significantly separated time scales. A multiple-scales analysis of a reaction diffusion system provides a simplified model of this coupling. We outline the analysis, provide theory to demonstrate that this model is qualitatively sensible and also compare the asymptotic model to numerical solutions of the full physical model.
Committee members: Conming Li, Keith Julien, Harvey Segur (APPM), Harihar Rajaram (CVRN), Shemin Ge (GEO)