Upper Bounds on Coarsening Rates

  title={Upper Bounds on Coarsening Rates},
  author={Robert V. Kohn and Felix Otto},
  journal={Communications in Mathematical Physics},
  • R. Kohn, F. Otto
  • Published 1 September 2002
  • Mathematics
  • Communications in Mathematical Physics
Abstract: We consider two standard models of surface-energy-driven coarsening: a constant-mobility Cahn-Hilliard equation, whose large-time behavior corresponds to Mullins-Sekerka dynamics; and a degenerate-mobility Cahn-Hilliard equation, whose large-time behavior corresponds to motion by surface diffusion. Arguments based on scaling suggest that the typical length scale should behave as in the first case and in the second. We prove a weak, one-sided version of this assertion – showing… 

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