Homogénéisation des équations de viscoélasticité et quelques structures discrètes

Abstract : In this thesis, we study two problems of Homogenization. The first one consists of passing to a limit in the elasticity type equations with instantaneous memory which describe the displacements of a viscous, compressible and barotropic fluid, in perforated area with tiny holes periodically distributed. In the asymptotic problem, along memory phenomenon appears on. In the second problem, we justify for some examples of discret structures, the convergence of the non-homogeneous problem to the homogeneous one, obtained by P. Verna using a formal asymptotic expansion
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Samia Challal. Homogénéisation des équations de viscoélasticité et quelques structures discrètes. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 1994. Français. ⟨NNT : 1994METZ003S⟩. ⟨tel-01776033⟩

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