Non-perturbative Methods in Statistical Descriptions of Turbulence

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Focusing on turbulent flows, the book critiques traditional perturbative methods applied to the Navier-Stokes equations, highlighting their limitations. It introduces non-perturbative approaches, such as the instanton method, and explores a probabilistic framework for understanding turbulence. Key topics include the multi-point hierarchy, closure problems, and empirical multiscaling features, with discussions linking these concepts to fields like critical phenomena. Aimed at physicists and engineers, it serves as a resource for those seeking to deepen their understanding of turbulence research.