Partial differential equations and fluid mechanics : [Workshop "Partial Differential Equations and Fluid Mechanics" ... Warwick, May 21st-23rd, 2007

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 organized 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. 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. Shear Flows And Their Attractors -- Mathematical Results Concerning Unsteady Flows Of Chemically Reacting Incompressible Fluids -- The Uniqueness Of Lagrangian Trajectories In Navier-stokes Flows -- Some Controllability Results In Fluid Mechanics -- Singularity Formation And Separation Phenomena In Boundary Layer Theory -- Partial Regularity Results For Solutions Of The Navier-stokes System -- Anisotropic Navier-stokes Equations In A Bounded Cylindrical Domain -- The Regularity Problem For The Three-dimensional Navier-stokes Equations -- Contour Dynamics For The Surface Quai-geostrophic Equation -- Theory And Applications Of Statistical Solutions Of The Navier-stokes Equations. Edited By James C. Robinson & José L. Rodrigo. Includes Bibliographical References. A collection of reviews and more traditional research articles emerging from a workshop at the University of Warwick in May 2007. This volume provides an accessible overview for graduate students just entering the field and also serves as a useful resource for more established researchers. Reviews and research articles summarizing a wide range of active research topics in fluid mechanics