Two-scale homogenization of a hydrodynamic Elrod-Adams model

Guy Bayada (1, 2, 3) , Sébastien Martin (1) , Carlos Vazquez (4)

1 ICJ - Institut Camille Jordan
2 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
3 TMI - Tribologie et Mécanique des Interfaces
4 DEP. MATEMATICAS (UNIVERSIDADE A CORUÑA) - Dep. Matematicas (Universidade A Coruña)

The present paper deals with the analysis and homogenization of a lubrication problem, via two-scale convergence. We study in particular the Elrod-Adams problem with highly oscillating roughness effects.

Mots clés: lubrication; cavitation; two-scale homogenization; anisotropic effects

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Guy Bayada, Sébastien Martin, Carlos Vazquez. Two-scale homogenization of a hydrodynamic Elrod-Adams model. 2004. ⟨hal-00008080⟩