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A Caginalp phase-field system based on type III heat conduction with two temperatures

Autor
Miranville, A.; Quintanilla, R.
Tipus d'activitat
Article en revista
Revista
Quarterly of applied mathematics
Data de publicació
2016-03
Volum
74
Número
2
Pàgina inicial
375
Pàgina final
398
DOI
https://doi.org/10.1090/qam/1430 Obrir en finestra nova
Projecte finançador
Análisis matemático de las ecuaciones en derivadas parciales de la termomecánica
Repositori
http://hdl.handle.net/2117/87512 Obrir en finestra nova
URL
http://www.ams.org/journals/qam/2016-74-02/S0033-569X-2016-01430-7/ Obrir en finestra nova
Resum
Our aim in this paper is to study a generalization of the Caginalp phasefield system based on the theory of type III thermomechanics with two temperatures for the heat conduction. In particular, we obtain well-posedness results and study the dissipativity of the associated solution operators. We consider here both regular and singular nonlinear terms. Furthermore, we endow the equations with two types of boundary conditions, namely, Dirichlet and Neumann. Finally, we study the spatial behavior o...
Citació
Miranville, A., Quintanilla, R. A Caginalp phase-field system based on type III heat conduction with two temperatures. "Quarterly of applied mathematics", 01 Juny 2016, vol. 74, núm. 2, p. 375-398.
Paraules clau
Caginalp system, Dissipativity, Phragmén-Lindelöf alternative, Spatial behavior, Two temperatures, Type III thermomechanics, Well-posedness
Grup de recerca
GRAA - Grup de Recerca en Anàlisi Aplicada

Participants

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