Navier-Stokes Equations and Turbulence
This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. It is the result of many years of research by the authors to analyze turbulence using Sobolev spaces and functional analysis. In this way the authors have recovered parts of the conventional theory of turbulence, deriving rigorously from the Navier-Stokes equations that had been arrived at earlier by phenomenological arguments. Appendices give full details of the mathematical proofs and subtleties.
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Navier-Stokes Equations and Turbulence
This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. It is the result of many years of research by the authors to analyze turbulence using Sobolev spaces and functional analysis. In this way the authors have recovered parts of the conventional theory of turbulence, deriving rigorously from the Navier-Stokes equations that had been arrived at earlier by phenomenological arguments. Appendices give full details of the mathematical proofs and subtleties.
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Navier-Stokes Equations and Turbulence

Navier-Stokes Equations and Turbulence

Navier-Stokes Equations and Turbulence

Navier-Stokes Equations and Turbulence

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Overview

This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. It is the result of many years of research by the authors to analyze turbulence using Sobolev spaces and functional analysis. In this way the authors have recovered parts of the conventional theory of turbulence, deriving rigorously from the Navier-Stokes equations that had been arrived at earlier by phenomenological arguments. Appendices give full details of the mathematical proofs and subtleties.

Product Details

ISBN-13: 9780521064606
Publisher: Cambridge University Press
Publication date: 06/12/2008
Series: Encyclopedia of Mathematics and its Applications , #83
Edition description: New Edition
Pages: 364
Product dimensions: 6.10(w) x 9.20(h) x 1.00(d)

Table of Contents

Preface; Acknowledgements; 1. Introduction and overview of turbulence; 2. Elements of the mathematical theory of the Navier–Stokes equations; 3. Finite dimensionality of flows; 4. Stationary statistical solutions of the Navier–Stokes equations, time averages and attractors; 5. Time-dependent statistical solutions of the Navier–Stokes equations and fully developed turbulence; References; Index.
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