Abstract

We study the existence and stability of stationary states in an exactly solvable reaction-diffusion model, under conditions of partial absorption and reflection at a boundary. The rich variety of time-independent solutions-which, if stable, are candidates to describe the long-time asymptotic state of the system-suggests that such mixed boundary conditions can strongly affect the solution set of more general reaction diffusion models. This conclusion is relevant in many applications, in particular, in nucleating systems.

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