Homogenization for periodic media: from microscale to macroscale

Grigory Panasenko (1)

1 LA MUSE - Laboratoire de Mathématiques Unifiées de Saint-Etienne

The mathematical tools for the up-scaling from micro to macro in periodic media are considered: the homogenization techniques, the multiscale modelling, etc. The main applications of these tools are the mechanics of composite materials, flows in porous media, and discrete models for nanostructures

Domaines: Equations aux dérivées partielles [math.AP]; Physique Nucléaire Théorique [nucl-th]

Grigory Panasenko. Homogenization for periodic media: from microscale to macroscale. Physics of Atomic Nuclei / Yadernaya Fizika, 2008, 71 (4), pp.681-694. ⟨10.1134/S106377880804008X⟩. ⟨hal-00867968⟩