Turbulence and Shell Models

Turbulence is a huge subject of ongoing research. This book bridges the modern development in dynamical systems theory and the theory of fully developed turbulence. Many solved and unsolved problems in turbulence have equivalencies in simple dynamical models, which are much easier to handle analytically and numerically. This book gives a modern view of the subject by first giving the essentials of the theory of turbulence before moving on to shell models. These show much of the same complex behaviour as fluid turbulence, but are much easier to handle analytically and numerically. Any necessary maths is explained and self-contained, making this book ideal for advanced undergraduates and graduate students, as well as researchers and professionals, wanting to understand the basics of fully developed turbulence.

• Gives a modern view of the subject by connecting recent developments in dynamical systems theory and the theory of fully developed turbulence
• Explains the basics of fully developed turbulence without going into complex maths
• Provides an introduction to dynamical systems theory through the application of tools to analyze shell models