Navier-Stokes equations and turbulence
Author(s)
Bibliographic Information
Navier-Stokes equations and turbulence
(Encyclopedia of mathematics and its applications / edited by G.-C. Rota, 83)
Cambridge University Press, 2008, c2001
- : pbk
Available at 10 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
"This digital printed version 2008"--T.p. verso
Originally published: 2001
Bibliography: p. 331-342
Includes index
Description and Table of Contents
Description
This book aims to bridge the gap between practising mathematicians and the practitioners of turbulence theory. It presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The book is the result of many years of research by the authors to analyse 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 what had been arrived at earlier by phenomenological arguments. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience. Each chapter is accompanied by appendices giving full details of the mathematical proofs and subtleties. This unique presentation should ensure a volume of interest to mathematicians, engineers and physicists.
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.
by "Nielsen BookData"