Tony Shardlow
Abstract:
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.
Submitted April 5, 2002. Published August 13, 2002.
Math Subject Classifications: 35K35, 65M60, 60H15.
Key Words:
Boundary Value Problems, Finite Element Methods,
Stochastic Partial Differential Equations.
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