Navier-Stokes Equations and Turbulence (Encyclopedia of Mathematics and its Applications)
Editorial Reviews
Review
'The authors are distinguished researchers who have made fundamental contributions to mathematical fluid dynamics over their careers. The aim of the volume is, in the authors' own words, 'to let physicists and engineers know about existing mathematical tools from which they might benefit [and] ... to help mathematicians learn what physical turbulence is about so they can focus their research on problems of interest of physics. ...' The monograph is a substantial step toward bringing together physicists' and engineers' theoretical treatments of turbulence with mathematicisns' rigorous analysis of the Navier-Strokes equations and their solutions. In this regard the book is the first of its type. This book is far from elementary, but the authors' efforts to make it accessible on several levels make it a valuable and unique resource for researchers interested in both turbulence theory and mathematical analysis. I hope, as do the authors, that this work will help to establish new and constructive lines of communication between these two communities.' SIAM Review
Book Description
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.
Navier-Stokes Equations and Turbulence (Encyclopedia of Mathematics and its Applications)
Navier-Stokes Equations and Turbulence (Encyclopedia of Mathematics and its Applications),Ciprian Foias,Oscar Manley,Ricardo Rosa,Roger Temam,Cambridge University Press,0521360323,Advanced,Analytic Mechanics (Mathematical Aspects),Applied,General,Hydraulics,Mathematics,Mechanics - General,Navier-Stokes equations,Science/Mathematics,Turbulence,Fluid mechanics,Mathematics for scientists & engineers,Science / Mechanics / Dynamics / Fluid Dynamics
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