Two-Scale limit of the solution to a Robin Problem in Perforated Media

Details Two-Scale limit of the solution to a Robin Problem in Perforated Media Two-Scale limit of the solution to a Robin Problem in Perforated Media

2006-05-14

arxiv.org/abs/math/0605368v1

Applied Mathematical Sciences, Vol. 1, 2007, no. 36, 1789 - 1802

Mathematics

Analysis of PDEs

Scientific paper

The two scale convergence of the solution to a Robin's type-like problem of a stationary diffusion problem in a periodically perforated domain is investigated. It is shown that the Robin's problem converges to a problem associated to a new operator which is the sum of a standard homogenized operator plus an extra first order "strange" term; its appearance is due to the non-symmetry of the diffusion matrix and to the non rescaled resistivity.

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