This summer school took place at the Faculté des Sciences et Techniques, Université de Nantes, from June, 22nd to July, 3rd, 2015. The organization committee is the following : Erwan Faou, Benoît Grébert, Eric Paturel
Mini-courses and talks have been captured and are available
Presentation of the field
If normal forms were initially used in a finite dimensional setting, for a better understanding of the long time behavior of dynamical systems, their extension to partial differential equations, especially in the nonlinear case, have led to important progresses during this last decade. More than useful tools, they put in light some characteristic phenomena in complex situations where nonlinearity play a fondamental rôle. The aim of this summer school is to show their great adaptability in various fields (Hamiltonian PDEs, fluid mechanics, numerical analysis), and to explain how it works, in a manner accessible to starting researchers.