Polyteknisk Boghandel

Turbulence, and in particular the formation of vortices has long been the subject of study by mathematicians, physicists and engineers, using experimental, analytical and numerical methods. Recent observations suggest vorticity is likely to be spatially localised, forming a structure. Professor Ohkitani presents a mathematically challenging account of the effect of non-linear dynamics in the formation of singularities in a precise way that graduate students and researchers alike will find easily digestible.

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.