Slow motion in the gradient theory of phase transitions via energy and spectrum |
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| Authors: | ND Alikakos L Bronsard G Fusco |
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| Institution: | (1) Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA , US;(2) Department of Mathematics, McMaster University, Hamilton, Ont. L8S 4K1, Canada , CA;(3) Department of Mathematics, University of l'Aquila, I-67100 L'Aquila, Italy , IT;(4) Department of Mathematics, University of Athens, Panepistimiopolis, GR-15784 Athens, Greece , GR |
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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.
Received June 23, 1996 / Accepted October 28, 1996 |
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