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In the decades the of the formation of structures past subject
spontaneous in far from has into a branch of - systems equilibrium
major physics grown search with ties to It has become evident that
strong neighboring disciplines. a diverse of can be understood
within a common mat- phenomena range matical framework which has
been called nonlinear of continuous dynamics This name the close to
the field of nonlinear systems. emphasizes relationship of with few
of freedom which has evolved into a dynamics systems degrees mature
in the recent features mathematically subject past. Many dynamical
of continuous be described reduction few can a to a systems
actually through of freedom and of the latter of continue to
degrees properties type systems of continuous the inspire study
systems. The of this book is to demonstrate the numerous goal
through examples that exist for the of nonlinear the opportunities
study phenomena through tools of mathematical and use of common
analyses dynamical interpretations. Instead of overview of the a
providing comprehensive rapidly evolving field, the contributors to
this book are to communicate to a wide scientific trying audience
the of what have learnt about the formation of essence they spon-
neous structures in continuous and about the dissipative systems
competition between order and chaos that characterizes these It is
that systems. hoped the book will be even to those scientists whose
not helpful are disciplines the authors.
In the decades the of the formation of structures past subject
spontaneous in far from has into a branch of - systems equilibrium
major physics grown search with ties to It has become evident that
strong neighboring disciplines. a diverse of can be understood
within a common mat- phenomena range matical framework which has
been called nonlinear of continuous dynamics This name the close to
the field of nonlinear systems. emphasizes relationship of with few
of freedom which has evolved into a dynamics systems degrees mature
in the recent features mathematically subject past. Many dynamical
of continuous be described reduction few can a to a systems
actually through of freedom and of the latter of continue to
degrees properties type systems of continuous the inspire study
systems. The of this book is to demonstrate the numerous goal
through examples that exist for the of nonlinear the opportunities
study phenomena through tools of mathematical and use of common
analyses dynamical interpretations. Instead of overview of the a
providing comprehensive rapidly evolving field, the contributors to
this book are to communicate to a wide scientific trying audience
the of what have learnt about the formation of essence they spon-
neous structures in continuous and about the dissipative systems
competition between order and chaos that characterizes these It is
that systems. hoped the book will be even to those scientists whose
not helpful are disciplines the authors.
The term "turbulence" is used for a large variety of dynamical phenomena of fluids in motion whenever the details of the flow appear to be random and average properties are of primary interest. Just as wide ranging are the theoretical methods that have been applied towards a better understanding of fluid turbulence. In this book a number of these methods are described and applied to a broad range of problems from the transition to turbulence to asymptotic turbulence when the inertial part of the spectrum is fully developed. Statistical as well as nonstatistical treatments are presented, but a complete coverage of the subject is not attempted. The book will be of interest to scientists and engineers who wish to familiarize themselves with modern developments in theories of turbulence. The fact that the properties of turbulent fluid flow are addressed from very different points of view makes this volume rather unique among presently available books on turbulence.
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