Preface; List of contributors; 1. Shear flows and their attractors M. Boukrouche and G. Lukaszewicz; 2. Mathematical results concerning unsteady flows of chemically reacting incompressible fluids M. Bulíček, J. Málek and K. R. Rajagopal; 3. The uniqueness of Lagrangian trajectories in Navier–Stokes flows M. Dashti and J. C. Robinson; 4. Some controllability results in fluid mechanics E. Fernández-Cara; 5. Singularity formation and separation phenomena in boundary layer theory F. Gargano, M. C. Lombardo, M. Sammartino and V. Sciacca; 6. Partial regularity results for solutions of the Navier–Stokes system I. Kukavica; 7. Anisotropic Navier–Stokes equations in a bounded cylindrical domain M. Paicu and G. Raugel; 8. The regularity problem for the three-dimensional Navier–Stokes equations J. C. Robinson and W. Sadowski; 9. Contour dynamics for the surface quasi-geostrophic equation J. L. Rodrigo; 10. Theory and applications of statistical solutions of the Navier–Stokes equations R. M. Rosa.