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Home Institutional Repository Slow Motion in One-Dimensional Cahn-Morral Systems

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Slow Motion in One-Dimensional Cahn-Morral Systems

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Permanent URL	http://hdl.lib.byu.edu/1877/1363
Title	Slow Motion in One-Dimensional Cahn-Morral Systems
BYU Creator	Grant, Christopher P.
Keywords	Cahn-Hilliard equation; phase separation; transition layers; metastability
Description/Abstract	In this paper we study one-dimensional Cahn-Morral systems, which are the multicomponent analogues of the Cahn-Hilliard model for phase separation and coarsening in binary mixtures. In particular, we examine solutions that start with initial data close to the preferred phases except at finitely many transition points where the data has sharp transition layers, and we show that such solutions may evolve exponentially slowly; i.e., if ε is the interaction length then there exists a constant C such that in exp(C/ε) units of time the change in such a solution is o(1). This corresponds to extremely slow coarsening of a multicomponent mixture after it has undergone fine-grained decomposition.
Source	SIAM Journal on Mathematical Analysis 26.1 (1995), pp. 21-34.;
Publisher	Society for Industrial and Applied Mathematics, http://www.siam.org/
Date Original	1995-01-01
Language	English eng en
Publication Type	Articles
Type	Text
Format	application/pdf
Owning Institution	Brigham Young University
BYU College	College of Physical and Mathematical Sciences
BYU Department	Mathematics
Copyright Status	(c) 1995 Society for Industrial and Applied Mathematics;
Copyright Use Information	http://www.lib.byu.edu/generic_copyright.html

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