Spatial decay for several phase-field models
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Document typeArticle
Defense date2013-10
Rights accessRestricted access - publisher's policy
Abstract
In this paper, we study the spatial behavior of three phase-field models. First, we consider the Cahn-Hilliard equation and
we obtain the exponential decay of solutions under suitable assumptions on the data. Then, for the classical isothermal
phase-field equation (i.e., the Allen-Cahn equation), we prove the nonexistence and the fast decay of solutions and, for
the nonisothermal case governed by the Fourier law, we obtain a Phragm ́
en-Lindel ̈
of alternative of exponential type,
respectively.
CitationMiranville, A.; Quintanilla, R. Spatial decay for several phase-field models. "ZAMM: Zeitschrift fur angewandte mathematik und mechanik", Octubre 2013, vol. 93, núm. 10-11, p. 801-810.
ISSN0044-2267
Publisher versionhttp://onlinelibrary.wiley.com/doi/10.1002/zamm.201200131/pdf
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