Asymptotic and numerical analysis of the Allen-Cahn equation with a mass constraint

The Allen-Cahn equation with a mass constraint is analyzed asymptotically and numerically in a two-dimensional domain. This problem models the phase separation of a binary mixture in the presence of a mass constraint. Solutions develop internal layers, or interfaces, that propagate depending on t...

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Bibliographic Details
Main Author: Stafford, Douglas James
Format: Others
Language:English
Published: 2009
Online Access:http://hdl.handle.net/2429/6432