A Coupled Cahn-Hilliard Particle System
Date
2002-08-13
Authors
Shardlow, Tony
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Boundary value problems, Finite element methods, Stochastic partial differential equations
Citation
Shardlow, T. (2002). A coupled Cahn-Hilliard particle system. <i>Electronic Journal of Differential Equations, 2002</i>(73), pp. 1-21.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.