# American Institute of Mathematical Sciences

October  1995, 1(4): 485-502. doi: 10.3934/dcds.1995.1.485

## Homogenization of time-dependent systems with Kelvin-Voigt damping by two-scale convergence

 1 Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, United States

Received  January 1995 Published  August 1995

Allaire's results for elliptic problems on non-homogeneous media and on periodically perforated domains are extended to 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.
Citation: Robert E. Miller. Homogenization of time-dependent systems with Kelvin-Voigt damping by two-scale convergence. Discrete & Continuous Dynamical Systems - A, 1995, 1 (4) : 485-502. doi: 10.3934/dcds.1995.1.485
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