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Spatial decay for several phase-field models

Autor
Miranville, A.; Quintanilla, R.
Tipus d'activitat
Article en revista
Revista
ZAMM: Zeitschrift fur Angewandte Mathematik und Mechanik
Data de publicació
2013-10
Volum
93
Número
10-11
Pàgina inicial
801
Pàgina final
810
DOI
https://doi.org/10.1002/zamm.201200131 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/20931 Obrir en finestra nova
URL
http://onlinelibrary.wiley.com/doi/10.1002/zamm.201200131/pdf Obrir en finestra nova
Resum
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...
Citació
Miranville, 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.
Paraules clau
Phase-field Models, Spatial Decay, Exponential Decay, Fast Decay, Phragmén-lindelöf Alternative
Grup de recerca
GRAA - Grup de Recerca en Anàlisi Aplicada

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