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9780521125123

Partial Differential Equations and Fluid Mechanics

by
  • ISBN13:

    9780521125123

  • ISBN10:

    052112512X

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2009-08-31
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

Preface
List of contributors
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 quasi-geostrophic equation
Theory and applications of statistical solutions of the Navier-Stokes equations
Table of Contents provided by Publisher. All Rights Reserved.

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