Non-perturbative Methods in Statistical Descriptions of Turbulence

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Focusing on turbulent flows, this book critiques traditional perturbative methods for solving the Navier-Stokes equation and introduces innovative non-perturbative approaches, such as the instanton method. It explores a probabilistic framework for turbulence, emphasizing the multi-point hierarchy and closure problem. The text also examines empirical multiscaling features and their implications for closure methods, linking them to various fields like critical phenomena. Aimed at physicists and engineers, it serves as a guide to contemporary concepts and techniques in turbulence research.