Coarsening dynamics of the convective Cahn-Hilliard equation

@inproceedings{Watson2003CoarseningDO,
  title={Coarsening dynamics of the convective Cahn-Hilliard equation},
  author={Stephen J. Watson and Felix Otto and Boris Y. Rubinstein and S. H. Davis},
  year={2003}
}
Abstract We characterize the coarsening dynamics associated with a convective Cahn-Hilliard equation (cCH) in one space dimension. First, we derive a sharp-interface theory through a matched asymptotic analysis. Two types of phase boundaries (kink and anti-kink) arise, due to the presence of convection, and their motions are governed to leading order by a nearest-neighbors interaction coarsening dynamical system ( CDS ). Theoretical predictions on CDS include: • The characteristic length L M… CONTINUE READING
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