Based on lectures presented at the international conference on Partial Differential Equations (PDEs) on Multistructures, held recently in Lu miny, France. Contains the latest advances in the field, compiling up- to-the-minute research on the analyses and applications of multistruct uresyincluding current treatments of classical theories, specific char acterizations and modelings of multistructures, and timely discussions on uses in physics, electronics, and biology. Highlights nonlinear an d numerical analysis, finite element methods, variational calculus, in tegral equations, and dynamical systems.