Spatial decay for several phase-field models

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Title:	Spatial decay for several phase-field models
Author:	Miranville, Alain; Quintanilla de Latorre, Ramón
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada
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.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials -Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències -Differential equations, Partial -Phase-field models -Spatial decay -Exponential decay -Fast decay -Phragmén-Lindelöf alternative -Equacions diferencials parcials -Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
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Document type:	Article - Published version Article
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