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Slow motion in the gradient theory of phase transitions via energy and spectrum

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Abstract.

We describe some aspects of the Cahn-Hilliard and related equations. In particular we consider the dynamics of almost spherical interfaces and establish that almost spherical interfaces either persist forever or until they reach the boundary, a phenomenon which happens superslowly.

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Authors and Affiliations

  1. Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA , , , , , , US

    N.D. Alikakos

  2. Department of Mathematics, McMaster University, Hamilton, Ont. L8S 4K1, Canada , , , , , , CA

    L. Bronsard

  3. Department of Mathematics, University of l'Aquila, I-67100 L'Aquila, Italy , , , , , , IT

    G. Fusco

Authors
  1. N.D. Alikakos
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  2. L. Bronsard
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  3. G. Fusco
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Received June 23, 1996 / Accepted October 28, 1996

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Alikakos, N., Bronsard, L. & Fusco, G. Slow motion in the gradient theory of phase transitions via energy and spectrum. Calc Var 6, 39–66 (1997). https://doi.org/10.1007/s005260050081

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  • DOI: https://doi.org/10.1007/s005260050081

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