Behavior of perforated bodies with rough surface

 
                         Gregory Chechkin

   Department of Mechanics and Mathematics, Moscow State University
       

                            Abstract

We consider a model homogenization problem for the Poisson
equation in a perforated domain with rapidly oscillating exterior boundary,
the Fourier boundary condition being posed on the boundary of the
holes. We study this problem assuming that both
perforation and boundary oscillation are locally periodic and
their structures are consistent. We construct the leading
terms of formal interior asymptotic expansion and the boundary
layer corrector. Finally, we justify the asymptotics obtained and 
estimate the residual.

Request for preprints and reprints address to the speaker at
chechkin@mech.math.msu.su