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On a Caginalp phase-field system with two temperatures and memory

Autor
Conti, M.; Gatti, S.; Miranville, A.; Quintanilla, R.
Tipus d'activitat
Article en revista
Revista
Milan Journal of Mathematics
Data de publicació
2017-06
Volum
85
Número
1
Pàgina inicial
1
Pàgina final
27
DOI
https://doi.org/10.1007/s00032-017-0263-z Obrir en finestra nova
Projecte finançador
Analisis matemàtico de problemas de la termomecánica
Análisis matemático de las ecuaciones en derivadas parciales de la termomecánica
Repositori
http://hdl.handle.net/2117/104992 Obrir en finestra nova
URL
https://link.springer.com/article/10.1007%2Fs00032-017-0263-z Obrir en finestra nova
Resum
The Caginalp phase-field system has been proposed in [4] as a simple mathematical model for phase transition phenomena. In this paper, we are concerned with a generalization of this system based on the Gurtin-Pipkin law with two temperatures for heat conduction with memory, apt to describe transition phenomena in nonsimple materials. The model consists of a parabolic equation governing the order parameter which is linearly coupled with a nonclassical integrodifferential equation ruling the evolu...
Citació
Conti, M., Gatti, S., Miranville, A., Quintanilla, R. On a Caginalp phase-field system with two temperatures and memory. "Milan Journal of Mathematics", Juny 2017, vol. 85, núm. 1, p. 1-27.
Paraules clau
Caginalp system, Dissipativity, Exponential attractor stability , Gurtin-Pipkin law, Two temperatures
Grup de recerca
GRAA - Grup de Recerca en Anàlisi Aplicada

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