James C. Robinson is Reader of Mathematics in the Mathematics Institute at the University of Warwick. José L. Rodrigo is Associate Professor in the Mathematics Institute at the University of Warwick.

• 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.