Homogenization of time-dependent systems with Kelvin-Voigt damping by two-scale convergence (Q1355017)

The author, starting from the framework of homogenization theory, presents the recent method of two scale convergence, which provides more efficient means of studying periodic problems. The method has been applied for elliptic problems on non-homogeneous media and on periodic perforated domains. The author extends the two scale convergence method to the time-dependent problems. The main emphasis of the paper is to apply the method of two scale convergence to problems in which the damping term has the same order spatial derivative as the stiffness term.