Description
CAMBRIDGE Partial Differential Equations and Fluid Mechanics 2009 Edition by James C. Robinson, Jose L. Rodrigo
Recent years have seen considerable research activity at the interface of mathematics and fluid mechanics, particularly partial differential equations. The 2007 workshop at the University of Warwick was organised to consolidate, survey and further advance the subject. This volume is an outgrowth of that workshop. It consists of a number of reviews and a selection of more traditional research articles. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves as both a helpful overview for graduate students new to the area and a useful resource for more established researchers. Table of contents :- 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. Bulicek, J. Malek 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. Fernandez-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.