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9781107609259

Mathematical Aspects of Fluid Mechanics

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  • ISBN13:

    9781107609259

  • ISBN10:

    1107609259

  • Format: Paperback
  • Copyright: 2012-11-30
  • Publisher: Cambridge Univ Pr

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Summary

The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier–Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

Table of Contents

Preface
List of contributors
Towards fluid equations by approximate deconvolution models
On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph
A continuous model for turbulent energy cascade
Remarks on complex fluid models
A naive parametrization for the vortex-sheet problem
Sharp and almost-sharp fronts for the SQG equation
Feedback stabilization for the Navier-Stokes equations: theory and calculations
Interacting vortex pairs in inviscid and viscous planar flows
Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations
Exploring symmetry plane conditions in numerical Euler solutions
On the decay of solutions of the Navier-Stokes system with potential forces
Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data
Table of Contents provided by Publisher. All Rights Reserved.

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