Samantha Mesuro

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We study a class of models for precipitation from a dynamical systems point of view. The class of models incorporates Cahn-Hilliard-type models for spinodal decomposition and supersaturation theories as natural limiting cases. We analyze existence and stability of coherent structures, and relate our findings to simulations of Liesegang pattern formation.
We study invasion fronts in a class of simple, two-species reaction-diffusion systems that occur as models for recurrent precipitation and undercooled liquids. We exhibit several different modes of front propagation: the invasion of an unstable homogeneous equilibrium can create persistent periodic patterns, transient patterns, or simply a homogeneous(More)
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