Reading

1. V.E. Zakharov, V.S. L'vov and G. Falkovich - Kolmogorov Spectra of Turbulence. http://lvov.weizmann.ac.il/lvov/Texts-Online/002_KST/002_KST-index.html
   • §1.1.1 (formulas 1.1.1 - 1.1.18) : Understand
   • §1.1.2 : Understand
   • §1.1.3 - §1.1.4 : Read
   • §1.2, §1.3 : Read

   • §2.1.1 - 2.1.3 : Understand
   • §2.1.4 : Read
   • §2.1.5 (up to formula 2.1.29) : Understand
   • §2.1.6 : Read
   • §2.2.1 (formulas 2.1.1 - 2.2.5) : Understand
   • §2.2.3 - §2.2.3 : Read

   • §3.1.1 : Read
   • §3.1.2 - §3.1.3 : Understand

2. Sergey Nazarenko, ``Wave Turbulence'', Springer, 2011. Excellent modern book on Wave Turbulence, page 68-69 for general overview of the field

3. A.J. Majda, D.W. McLaughlin, and E.G. Tabak - A One Dimensional Model for Dispersive Wave Turbulence. J. Nonlinear Sci. Vol. 6: pp. 9-44 (1997). http://math.nyu.edu/faculty/tabak/publications.html

   • §1 : Read
   • §2.1 : Understand
   • §2.2 - §2.3 : Understand
   • §3 : Memorize
   • §4 : Read
4. Yuri V. Lvov and Sergey Nazarenko - Noisy spectra, long correlations, and intermittency in wave turbulence. Physical Review E 69, 066608 (2004).http://www.math.rpi.edu/~lvovy/Publications.html
   • §I: Read
   • §II : Understand
   • §III : Memorize
   • §IV : Reproduce results for $p=1$

5. Doctoral Thesis of Dr. Boris Gershgorin, available at http://arxiv.org/abs/0707.2830
6. Landau, The Theory of Elasticity, paragraph 26, anharmonic oscillations.