Viscoelastic materials with a double porosity structure

Dorin Ieşan; Ramon Quintanilla

doi:10.1016/j.crme.2018.12.004

Viscoelastic materials with a double porosity structure

Dorin Ieşan ¹ ; Ramon Quintanilla ²

¹ “Octav Mayer” Institute of Mathematics (Romanian Academy), Bd. Carol I, nr. 8, 700506, Iaşi, Romania
² Departament de Matemàtiques, ESEIAAT, Universitat Politècnica de Catalunya, Carrer de Colom, 11, 08222 Terrassa, Barcelona, Spain

Comptes Rendus. Mécanique, Volume 347 (2019) no. 2, pp. 124-140.

Résumé

This paper in concerned with the linear theory of materials with memory that possess a double porosity structure. First, the formulation of the initial-boundary-value problem is presented. Then, a uniqueness result is established. The semigroup theory of linear operators is used to prove existence and continuous dependence of solutions. A minimum principle for the dynamical theory is also derived.

Reçu le : 2018-09-27
Accepté le : 2018-12-18
Publié le : 2019-01-25

DOI : 10.1016/j.crme.2018.12.004

Mots clés : Viscoelastic porous materials, Uniqueness and existence results, Reciprocity, Minimum principle

Affiliations des auteurs :

Dorin Ieşan ¹ ; Ramon Quintanilla ²

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     title = {Viscoelastic materials with a double porosity structure},
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     pages = {124--140},
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     language = {en},
}

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Dorin Ieşan; Ramon Quintanilla. Viscoelastic materials with a double porosity structure. Comptes Rendus. Mécanique, Volume 347 (2019) no. 2, pp. 124-140. doi : 10.1016/j.crme.2018.12.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2018.12.004/

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