Easy turbulence

Details Easy turbulence Easy turbulence

1999-07-16

arxiv.org/abs/chao-dyn/9907024v2

Nonlinear Sciences

Chaotic Dynamics

26 pages, latex, 7 figurs, cosmetic changes

Scientific paper

This is an introductory course on fully developed turbulence. It discusses: in Lecture 1: the Navier Stokes equations, existence of solutions, statistical description, energy balance and cascade picture; in Lecture 2: the Kolmogorov theory of three-dimensional turbulence versus intermittency, the Kraichnan-Batchelor theory of two-dimensional turbulence; in Lecture 3: the Richardson dispersion law and the breakdown of the Lagrangian flow; in Lecture 4: direct and inverse cascades and intermittency in the Kraichnan model of passive advection.

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