Navier-Stokes Equations and Turbulence
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Navier-Stokes Equations and Turbulence by Ciprian Foias
Book DescriptionThis 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.
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Book DetailsISBN: 9780521064606
(234mm x 156mm x 19mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 12-Jun-2008
Country of Publication: United Kingdom
Books By Author Ciprian Foias
Harmonic Analysis of Operators on Hilbert Space, Paperback (September 2010)
Focuses on further developments of the theory, including the study of two operator classes: operators whose powers do not converge strongly to zero, and operators whose functional calculus is not injective.
Navier-Stokes Equations and Turbulence, Hardback (August 2001)
This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians.
Navier-Stokes Equations, Paperback (November 1988)» View all books by Ciprian Foias
An introduction to mathematical aspects of fluid mechanics that provides a compact and self-contained course on the classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.
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