Perfect Incompressible Fluids

Introduction 1. Presentation of the equations 2. Littlewood-Paley theory 3. Around Biot-Savart's law 4. The case of a smooth initial data 5. When the vorticity is bounded 6. Vortex sheets 7. The wave front and the product 8. Analyticity and Gevrey regularity 9. Singular vortex patches References