Geodesic
A coupled Cahn-Hilliard particle system
Electronic Journal of Differential Equations, Tome 2002 (2002).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Shardlow, Tony},
     title = {A coupled {Cahn-Hilliard} particle system},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2002},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a22/}
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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/