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 |
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Article |
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doaj-c5cc8e8d6da545eeb43408123f7e9fa22020-11-24T23:21:11ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-08-01200273121A coupled Cahn-Hilliard particle systemTony ShardlowA 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. http://ejde.math.txstate.edu/Volumes/2002/73/abstr.html |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tony Shardlow |
| spellingShingle |
Tony Shardlow A coupled Cahn-Hilliard particle system Electronic Journal of Differential Equations |
| author_facet |
Tony Shardlow |
| author_sort |
Tony Shardlow |
| title |
A coupled Cahn-Hilliard particle system |
| title_short |
A coupled Cahn-Hilliard particle system |
| title_full |
A coupled Cahn-Hilliard particle system |
| title_fullStr |
A coupled Cahn-Hilliard particle system |
| title_full_unstemmed |
A coupled Cahn-Hilliard particle system |
| title_sort |
coupled cahn-hilliard particle system |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2002-08-01 |
| description |
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. |
| url |
http://ejde.math.txstate.edu/Volumes/2002/73/abstr.html |
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AT tonyshardlow acoupledcahnhilliardparticlesystem AT tonyshardlow coupledcahnhilliardparticlesystem |
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