Homogenization of a nonlocal elastohydrodynamic lubrication problem: a new free boundary model
Bayada, Guy ; Martin, Sébastien ; Vazquez, Carlos
HAL, hal-00008081 / Harvested from HAL
Text on HAL
The present paper deals with the homogenization of a lubrication problem, using two-scale convergence techniques and periodic unfolding methods. We study in particular the Reynolds-Hertz model, which takes into account elastohydrodynamic deformations of the upper surface, when highly oscillating roughness effects occur. The difficulty arises when considering cavitation free boundary phenomena, leading to highly nonlinear and nonlocal problems.
Publié le : 2004-07-05
Classification:  two-scale convergence,  homogenization,  piezoviscous fluid,  Elrod-Adams model,  numerical simulation,  Elastohydrodynamic lubrication,  numerical simulation.,  AMS: 76D08, 35B40, 35J85, 76M50, 76M10,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00008081,
     author = {Bayada, Guy and Martin, S\'ebastien and Vazquez, Carlos},
     title = {Homogenization of a nonlocal elastohydrodynamic lubrication problem: a new free boundary model},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00008081}
}

Bayada, Guy; Martin, Sébastien; Vazquez, Carlos. Homogenization of a nonlocal elastohydrodynamic lubrication problem: a new free boundary model. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00008081/