Organized as part of the IHÉS Lectures, this 2-weeks Summer School is the last major scientific event of the special trimester on Non-Linear Waves that is start in the beginning of May 2016 at IHÉS. This school aims at providing an overview of recent developments in the field at this stage of the new cycle started a few years ago and to provide to post-docs and researchers in the early stage of their career working in these domains an opportunity to interact with leading experts on the subject.

Another objective is to gather researchers with different backgrounds whose research is much more converging today than 4 years ago, such as the French schools working on fluid models, on kinetic theory, dynamical systems and partial differential equations in relation to finite-dimensional Hamiltonian models or the microlocal community.

Last but not least, another objective would be the following: the advances have helped to solve classical problems from physics with new and very advanced methods based on analytical intuition thus not always understood or simply not well-known by the physicists. The idea would be to initiate a transfer to physicists interested in non linear waves phenomena and intensify the discussions on more realistic models, whether fluid, kinetic or of high-frequency waves.