Partial Differential Equations and Fluid Mechanics

Partial Differential Equations and Fluid Mechanics

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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.
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Product details

  • Electronic book text | 270 pages
  • Cambridge University Press (Virtual Publishing)
  • Cambridge, United Kingdom
  • English
  • 1 b/w illus.
  • 1139118986
  • 9781139118989

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.
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About James C. Robinson

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