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Stability of the interface in a model of phase separation*

Published online by Cambridge University Press:  14 November 2011

A. De Masi ,
E. Orlandi ,
E. Presutti  and
L. Triolo
A. De Masi
Affiliation:
Dipartimento di Matematica Pura e Applicata, Universita di L'Aquila, Coppito 67100 L'Aquila, ItalyE-mail:demasi@vxscaq.aquila.infn.it
E. Orlandi
Affiliation:
Dipartimento di Matematica Pura e Applicata, Universita di L'Aquila, Coppito 67100 L'Aquila, ItalyE-mail:demasi@vxscaq.aquila.infn.it
E. Presutti
Affiliation:
Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 00133 Rome, ItalyE-mail:presutti@mat.utovrm.it; presutti@irmtvm51.bitnet
L. Triolo
Affiliation:
Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 00133 Rome, ItalyE-mail:triolo@mat.utorvm.it; triolo@irmtvm51.bitnet
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Extract

The paper is concerned with the asymptotic behaviour of the solutions to a nonlocal evolution equation which arises in models of phase separation. As in the Allen–Cahn equations, stationary spatially nonhomogeneous solutions exist, which represent the interface profile between stable phases. Local stability of these interface profiles is proved.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 5 , 1994 , pp. 1013 - 1022
Copyright
Copyright © Royal Society of Edinburgh 1994

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