This text is based on lectures presented at the International Conference on Partial Differential Equations (PDEs) on Multistructures, held in Luminy, France. It contains advances in the field, compiling research on the analyses and applications of multistructures - including treatments of classical theories, specific characterizations and modellings of multistructures, and discussions on uses in physics, electronics, and biology.

chapter 2|17 pages

Can One Hear the Shape of a Network?

ByJoachim von Below

chapter 3|13 pages

Sensitivity analysis of 2D interface cracks

ByM.Bochniak and A.-M.Sändig

chapter 6|28 pages

Hadamard formula in nonsmooth domains and applications

ByG. Fremiot, J. Sokolowski

chapter 7|16 pages

Singular Stress Field at the Tip of a Closed Interface Crack

ByDominique Leguillon

chapter 10|23 pages

Some systems of PDE on polygonal networks

ByD. Mercier