Bibliographical Remarks

In this chapter we briefly describe the state of the art of the works on partial differential equations set in thin domains. Such domains depend on the small parameter \(\varepsilon \) , which is the ratio of sizes in different directions. In particular, the thin tube structures belong to this class of domains. The studying of thin structures is motivated by the applications to modeling of industrial installations (rods, bars, frames) as well as by the biological applications (networks of blood vessels).