A Coupled Cahn-Hilliard Particle System
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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.
CitationShardlow, T. (2002). A coupled Cahn-Hilliard particle system. Electronic Journal of Differential Equations, 2002(73), pp. 1-21.
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