A coupled Cahn-Hilliard particle system
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 metho...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-08-01
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| Series: | Electronic Journal of Differential Equations |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/73/abstr.html |
| 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. |
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| ISSN: | 1072-6691 |