Table of Contents

1. Introduction: 3-D Navier-Stokes equations; 2. Birkhoff-Rott equation; 3. Contour dynamics equation; 4. 1-D model equation; 5. 3-D Euler equations; 6. 3-D Navier-Stokes equations: fundamental theory; 7. 2-D incompressible fluid flows; 8. Some exact solutions of Navier-Stokes equations; 9. Concluding remarks.