Slow Motion in One-dimensional Cahn-morral Systems

  title={Slow Motion in One-dimensional Cahn-morral Systems},
  author={Christopher Grant},
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… CONTINUE READING
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