A Cahn-Hilliard equation is coupled to a system of stochastic differential equations to model a random growth process. We show the model is well posed and analyze the model asymptotically (in the limit of the interfacial distance becoming small), to recover a free boundary problem. A numerical method together with example solutions is presented.
|Number of pages||21|
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - 13 Aug 2002|