This book provides state-of-the-art results and theories in homogeneous turbulence, including anisotropy and compressibility effects with extension to quantum turbulence, magneto-hydodynamic turbulence  and turbulence in non-newtonian fluids. Each chapter is devoted to a given type of interaction (strain, rotation, shear, etc.), and presents and compares experimental data, numerical results, analysis of the Reynolds stress budget equations and advanced multipoint spectral theories. The role of both linear and non-linear mechanisms is emphasized. The link between the statistical properties and the dynamics of coherent structures is also addressed. Despite its restriction to homogeneous turbulence, the book is of interest to all people working in turbulence, since the basic physical mechanisms which are present in all turbulent flows are explained. The reader will find a unified presentation of the results and a clear presentation of existing controversies. Special attention is given to bridge the results obtained in different research communities. Mathematical tools and advanced physical models are detailed in dedicated chapters.

A precious reference on homogeneous turbulence Moves from pure linear approaches (Rapid Distortion Theory), to fully nonlinear statistical theories, with the important intermediate step of `weak' turbulence theories (wave-turbulence theory) Presents results obtained from numerical simulations, advanced statistical models and experiments Provides two possible levels of reading: one for readers interested only in the results, another for readers interested also in the details of the techniques

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