This 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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