Geodesic
A coupled Cahn-Hilliard particle system
Electronic journal of differential equations, Tome 2002 (2002)
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.
Classification : 35K35, 65M60, 60H15
Keywords: boundary value problems, finite element methods, stochastic partial differential equations 
@article{EJDE_2002__2002__a22,
     author = {Shardlow,  Tony},
     title = {A coupled {Cahn-Hilliard} particle system},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1003.35059},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a22/}
}
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%J Electronic journal of differential equations
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Shardlow,  Tony. A coupled Cahn-Hilliard particle system. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a22/