Shardlow, Tony2020-08-172020-08-172002-08-13Shardlow, T. (2002). A coupled Cahn-Hilliard particle system. <i>Electronic Journal of Differential Equations, 2002</i>(73), pp. 1-21.1072-6691https://hdl.handle.net/10877/12406A 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.Text21 pages1 file (.pdf)enAttribution 4.0 InternationalBoundary value problemsFinite element methodsStochastic partial differential equationsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.