| Introduction to the mathematical description of water waves – Lec.1a Energy equation and integrals of the motion and two classical problems : one linear and one nonlinear – Lec.1B Robin Johnson | |
| The solitary wave and Gerstner’s exact solution – Lec.2a Introduction to parameter asymptotics : ideas and methods – Lec.2b Robin Johnson | |
| The Korteweg-de Vries (KdV) equation for water waves and related equations – Lec.3a The KdV equation for variable depth and in a flow with background vorticity – Lec.3b Robin Jonhson | |
| Asymptotic theory for the appearance of « cat’s eyes » and of critical level – Lec.4a Edge waves over variable depth – Lec.4b Robin Jonhson | |
| Periodic water waves in the presence of constant vorticity – lec.5a The pacific equatorial undercurrent (EUC) and associated waves – Lec.5b Robin Jonhson | |
| Wave drag and wave thrust phenomena - Graham Behnam | |
| Three-scale singular limits applied to oceanography - Vincent Duchene | |
| Breaking description indepth-averaged models - Maria Kazakova | |
| Waves modeling & observations - Ludivine Oruba | |
| Rigid rotations in 3d-Euler : asymptomatic stability of axisymmetric perturbations - Benoit Pausader | |
| Structure and Scaling of extreme events in hydrodynamic turbulence - Alain Pumir | |
| Elements of topological vortex dynamics - Part I - Renzo Ricca | |
| Helicity & linking numbers - Part. II - Renzo Ricca | |
| Vortex filament motion and torus knots – Part III - Renzo Ricca | |
| Analytical de-singularisation of the Biot-Savart Low – Part IV - Renzo Ricca | |
| Vortex leapfrogging and merging (numerical simulation) – Part V - Renzo Ricca | |
| Water waves and hamiltonian partial differential equations : Lecture 1 - Catherine Sulem | |
| Water waves and hamiltonian partial differential equations : Lecture 2 - Catherine Sulem | |
| Water waves and hamiltonian partial differential equations : Lecture 3 - Catherine Sulem | |
| Water waves and hamiltonian partial differential equations : Lecture 4 - Catherine Sulem | |
| Water waves and hamiltonian partial differential equations : Lecture 5 - Catherine Sulem |
Institut d'Études Scientifiques | Cargèse