Speaker:   Evelyn Sander, Department of Mathematical Sciences, George Mason University

Title:  Pattern formation in reaction diffusion models

Abstract:

In this talk, I will discuss results for pattern formation in reaction-diffusion models for chemical dynamics which often arise in the field of biology. In particular, a 1952 discovery of Turing showed that a near-equilibrium mixture of chemical reactants could have diffusion-driven pattern formation. I will describe the mathematical nature of this pattern formation, as well as showing direct numerical simulation results and numerical bifurcation results for reaction-diffusion equations.