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On the viscoelastic mixtures of solids

Autor
Fernández, J.; Magaña, A.; Masid, M.; Quintanilla, R.
Tipus d'activitat
Article en revista
Revista
Applied mathematics and optimization
Data de publicació
2017-07-12
Pàgina inicial
1
Pàgina final
18
DOI
https://doi.org/10.1007/s00245-017-9439-8 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/108907 Obrir en finestra nova
Resum
In this paper we analyze an homogeneous and isotropic mixture of viscoelastic solids. We propose conditions to guarantee the coercivity of the internal energy and also of the dissipation, first in dimension two and later in dimension three. We obtain an uniqueness result for the solutions when the dissipation is positive and without any hypothesis over the internal energy. When the internal energy and the dissipation are both positive, we prove the existence of solutions as well as their analyti...
Citació
Fernández, J., Magaña, A., Masid, M., Quintanilla, R. On the viscoelastic mixtures of solids. "Applied mathematics and optimization", 12 Juliol 2017, p. 1-18.
Paraules clau
Analyticity, Existence, Positive dissipation, Positive internal energy, Uniqueness, Viscoelastic mixture
Grup de recerca
GRAA - Grup de Recerca en Anàlisi Aplicada
GRTJ - Grup de Recerca en Teoria de Jocs

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