Homogenized elliptic equations and variational inequalities with oscillating parameters. Application to the study of thin flow behavior with rough surfaces (Q867943)

The authors are interested in elliptic equations and inequalities in which not only the coefficients are highly oscillating with respect to the ``space'' variables, but also with respect to a ``time'' parameter. The limit behavior is considered, using double scale homogenization, firstly by carrying out a classical homogenization process by freezing the oscillating parameter, then by averaging the result with respect to this parameter. An application is presented on the asymptotic of Reynolds flow between two close moving rough surfaces. Numerical results are given.