Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 73, pp. 1-21.

Title: A coupled Cahn-Hilliard particle system

Author: Tony Shardlow (Durham University, UK)
         
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.