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Navier-Stokes Equations and Turbulence

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


Publisher
Cambridge University Press
Year
2001
Tongue
English
Leaves
363
Series
Encyclopedia of mathematics and its applications 83
Category
Library

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✦ Synopsis


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 equations the conventional theory which had previously only been supported by phenomenological arguments. Each chapter is followed by appendices presenting the full details of the mathematical proofs.


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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 re