English

Easy turbulence

chao-dyn 2007-05-23 v2 Chaotic Dynamics

Abstract

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.

Keywords

Cite

@article{arxiv.chao-dyn/9907024,
  title  = {Easy turbulence},
  author = {Krzysztof Gawedzki},
  journal= {arXiv preprint arXiv:chao-dyn/9907024},
  year   = {2007}
}

Comments

26 pages, latex, 7 figurs, cosmetic changes