Publications scientifiques
Nils Svanstedt
Chalmers Publication Library (Chalmers University of Technology)
Reiterated homogenization of linear elliptic Neuman eigenvalue problems in multiscale\nperforated domains is considered beyond the periodic setting. The classical\nperiodicity hypothesis on the coefficients of the operator is here substituted on each\nmicroscale by an abstract hypothesis covering a large set of concrete behaviors such\nas the periodicity, the almost periodicity, the weakly almost periodicity and many more\nbesides. Furthermore, the usual double periodicity is generalized by considering a type\nof structure where the perforations on each scale follow not only the periodic distribution\nbut also more complicated but realistic ones. Our main tool is Nguetseng’s Sigma\nconvergence.
