Asymptotic analysis of a planar waveguide perturbed by a non periodic perforation

We consider a general second order elliptic operator in a planar waveguide perforated by small holes distributed along a curve and subject to classical boundary conditions on the holes. Under weak assumptions on the perforation, we describe all possible homogenized problems.

Automated summary

This article studies a second order elliptic operator in a planar waveguide, where small holes are distributed along a curve and subject to classical boundary conditions on the holes. Under the weak assumptions on the perforation, all possible homogenized problems are described.