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.
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Dorin Ieşan 1 ; Ramon Quintanilla 2
@article{CRMECA_2019__347_2_124_0, author = {Dorin Ie\c{s}an and Ramon Quintanilla}, title = {Viscoelastic materials with a double porosity structure}, journal = {Comptes Rendus. M\'ecanique}, pages = {124--140}, publisher = {Elsevier}, volume = {347}, number = {2}, year = {2019}, doi = {10.1016/j.crme.2018.12.004}, language = {en}, }
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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