Navier Stokes equations and turbulence 1st Edition by C Foias, O Manley, R Rosa, R Temam ISBN 0521360323 9780521360326

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Product details:

ISBN 10: 0521360323 

ISBN 13: 9780521360326

Author: C. Foias, O. Manley, R. Rosa, R. Temam

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. 

Table of contents:

Chapter I – Introduction and Overview of Turbulence

Chapter II – Elements of the Mathematical Theory of the Navier–Stokes Equations

Chapter III – Finite Dimensionality of Flows

Chapter IV – Stationary Statistical Solutions of the Navier–Stokes Equations, Time Averages, and Attractors

Chapter V – Time-Dependent Statistical Solutions of the Navier–Stokes Equations and Fully Developed Turbulence

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Tags: C Foias, O Manley, R Rosa, R Temam, Navier Stokes Equations, Turbulence, Fluid Dynamics