The periodic unfolding for a Fredholm alternative in perforated domains

International audienceWe consider the homogenization of a pure Neumann boundary value problem in perforated domains. Contrary to the usual case, several obstructions occur in this case. We present an approximation of the domains for which the problem is well-posed and homogenization can be proved. The main tool is the unfolding method together with geometrical results used to establish uniform bounds