Turbulence: The Legacy of A. N. Kolmogorov

ISBN-13: 9780521451031 / Angielski / Twarda / 1995 / 312 str.

Uriel Frisch; Irene M. Leigh; Fiona M. Watt

Opis

Written five centuries after the first studies of Leonardo da Vinci and half a century after A.N. Kolmogorov's first attempt to predict the properties of flow, this textbook presents a modern account of turbulence, one of the greatest challenges in physics. "Fully developed turbulence" is ubiquitous in both cosmic and natural environments, in engineering applications and in everyday life. Elementary presentations of dynamical systems ideas, probabilistic methods (including the theory of large deviations) and fractal geometry make this a self-contained textbook. This is the first book on turbulence to use modern ideas from chaos and symmetry breaking. The book will appeal to first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, as well as professional scientists and engineers.

Recenzje

'… recommended to everyone who wants to know more of the basis and present-day understanding of turbulence.' Nonlinear Science Today

Spis treści

Preface; 1. Introduction; 2. Symmetries and conservation laws; 3. Why a probabilistic description of turbulence?; 4. Probabilistic tools: a survey; 5. Two experimental laws of fully developed turbulence; 6. The Kolmogorov 1941 theory; 7. Kolmogorov and Landau: the lack of universality; 8. Phenomenology of turbulence in the sense of Kolmogorov 1941; 9. Intermittency; 10. Further reading: a guided tour; References; Author index; Subject index.