Turbulence The Legacy of A. N. Kolmogorov [Paperback]

This textbook presents a modern account of turbulence, which is ubiquitous in both cosmical and natural environments.Presenting a modern account of turbulence for graduate students as well as professionals, this textbook is 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.Presenting a modern account of turbulence for graduate students as well as professionals, this textbook is 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.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.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. This is a work of great scholarship....This book belongs in the library l÷