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A generalization of the Caginalp phase-field system based on the Cattaneo law

Autor
Miranville, A.; Quintanilla, R.
Tipus d'activitat
Article en revista
Revista
Nonlinear analysis, theory, methods and applications
Data de publicació
2009
Volum
71
Número
5-6
Pàgina inicial
2278
Pàgina final
2290
DOI
https://doi.org/10.1016/j.na.2009.01.061 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/6662 Obrir en finestra nova
Resum
We consider in this article a generalization of the Caginalp model for phase transitions based on the Maxwell Cattaneo law, instead of the classical Fourier law. In particular, we prove the existence and uniqueness of solutions. We finally study the spatial behavior of the solutions in a semi-infinite cylinder.
Citació
Miranville, A.; Quintanilla, R. A generalization of the Caginalp phase-field system based on the Cattaneo law. "Nonlinear analysis: theory, methods and applications", 2009, vol. 71, núm. 5-6, p. 2278-2290.
Grup de recerca
GRAA - Grup de Recerca en Anàlisi Aplicada

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