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Elementary presentations of dynamical systems ideas, of probabilistic methods including the theory of large deviations, and of fractal geometry make this a self-contained textbook. The readership is first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering.
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'It is certainly an excellent book for those wanting to take a fresh look at some aspects of the subject. Teachers of turbulence will find it useful, for at least part of the material of their course. The book is undoubtedly worth reading by everybody concerned with some aspect of turbulence research.' A. Tsinober, Journal of Fluid Mechanics
'The title reveals a great advantage of this book: It is not a book on fluid dynamics with a chapter or so on turbulence; it is instead a modern, physics-oriented discussion of a difficult subject about which surprisingly little can be said to be known with confidence. ... This is a work of great scholarship. ... This book belongs in the library of any college or university where physics is taught. It can productively be used as a reference in advanced undergraduate courses or as a text for a one-semester course on turbulence itself.' Russell Donnelly, Physics Today
'... recommended to everyone who wants to know more of the basis and present-day understanding of turbulence.' Nonlinear Science Today
Reseña del editor:
'The title reveals a great advantage of this book: It is not a book on fluid dynamics with a chapter or so on turbulence; it is instead a modern, physics-oriented discussion of a difficult subject about which surprisingly little can be said to be known with confidence. ... This is a work of great scholarship. ... This book belongs in the library of any college or university where physics is taught. It can productively be used as a reference in advanced undergraduate courses or as a text for a one-semester course on turbulence itself.' Russell Donnelly, Physics Today
'... recommended to everyone who wants to know more of the basis and present-day understanding of turbulence.' Nonlinear Science Today
This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.
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- VerlagNew Publisher
- Erscheinungsdatum2021
- ISBN 10 0521451035
- ISBN 13 9780521451031
- EinbandTapa dura
- Anzahl der Seiten310
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Turbulence : The Legacy of A. N. Kolmogorov
Verlag:
Cambridge University Press
(1996)
ISBN 10: 0521451035
ISBN 13: 9780521451031
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Buchbeschreibung Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A.N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. First, a qualitative introduction is given to bring out the need for a probabilistic description of what is in essence a deterministic system. Kolmogorov's 1941 theory is presented in a novel fashion with emphasis on symmetries (including scaling transformations) which are broken by the mechanisms producing the turbulence and restored by the chaotic character of the cascade to small scales. Considerable material is devoted to intermittency, the clumpiness of small-scale activity, which has led to the development of fractal and multifractal models. Such models, pioneered by B. Mandelbrot, have applications in numerous fields besides turbulence (diffusion limited aggregation, solid-earth geophysics, attractors of dynamical systems, etc). The final chapter contains an introduction to analytic theories of the sort pioneered by R. Kraichnan, to the modern theory of eddy transport and renormalization and to recent developments in the statistical theory of two-dimensional turbulence. The book concludes with a guide to further reading. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Artikel-Nr. 9780521451031
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