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A Caginalp phase-field system with a nonlinear coupling

Autor
Miranville, A.; Quintanilla, R.
Tipus d'activitat
Article en revista
Revista
Nonlinear analysis: real world applications
Data de publicació
2010-08-01
Volum
11
Número
4
Pàgina inicial
2849
Pàgina final
2861
DOI
https://doi.org/10.1016/j.nonrwa.2009.10.008 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/8702 Obrir en finestra nova
URL
http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6W7S-4XF83TS-6-99&_cdi=6634&_user=1517299&_pii=S1468121809002946&_origin=browse&_zone=rslt_list_item&_coverDate=08%2F31%2F2010&_sk=999889995&wchp=dGLzVtz-zSkzS&md5=bca605691009c2eb5e04f29bc75940f1&ie=/sdarticle.pdf Obrir en finestra nova
Resum
Our aim in this article is to study a Caginalp phase-field system based on a thermomechanical theory of deformable continua proposed by Green and Naghdi (called type III thermoelasticity) and with a nonlinear coupling. In particular, we prove the existence and uniqueness of solutions and the dissipativity of the associated semigroup. We then study the spatial behavior of the solutions in a semi-infinite cylinder, when such solutions exist.
Citació
Miranville, A.; Quintanilla, R. A Caginalp phase-field system with a nonlinear coupling. "Nonlinear analysis: real world applications", 01 Agost 2010, vol. 11, núm. 4, p. 2849-2861.
Grup de recerca
GRAA - Grup de Recerca en Anàlisi Aplicada

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