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Navier-Stokes equations and turbulence

✍ Scribed by C. Foias, O. Manley, R. Rosa, R. Temam


Book ID
127427000
Publisher
Cambridge University Press
Year
2001
Tongue
English
Weight
2 MB
Series
Encyclopedia of mathematics and its applications 83
Edition
1
Category
Library
City
Cambridge; New York
ISBN
0511039360

No coin nor oath required. For personal study only.

✦ Synopsis


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
✍ Foias C., Manley O., Rosa R. πŸ“‚ Library πŸ“… 2001 πŸ› Cambridge University Press 🌐 English βš– 4 MB

Written for mathematicians, physicists, and engineers, this book draws together the perspectives of their various disciplines, explaining both the mathematical and physical theory behind turbulence. Turbulence is analyzed using Sobolex spaces and functional analysis, deriving from the Navier-Stokes