Partial Differential Equations and Fluid Mechanics

Reviews and research articles summarizing a wide range of active research topics in fluid mechanics.

James C. Robinson (Edited by), José L. Rodrigo (Edited by)

9780521125123, Cambridge University Press

Paperback, published 16 July 2009

270 pages, 1 b/w illus.
22.9 x 15.2 x 1.5 cm, 0.39 kg

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.

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. Bulí?ek, 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.

Subject Areas: Fluid mechanics [PHDF], Differential calculus & equations [PBKJ]