Weak turbulence and Kolmogorov Spectra
Goal: Understanding how one can find kinetic equation and computation of Kolmogorov indices
Supervisor: Stefan Carstea
Scheme:
A: Fourier analysis for weakly nonlinear equations with resonant interaction of waves
B: Kinetic equation for 3-wave and 4-wave resonance
C: Kolomogorov-Zakharov spectrum and entropy
D: Turbulence in integrable systems (advanced)
B: Kinetic equation for 3-wave and 4-wave resonance
C: Kolomogorov-Zakharov spectrum and entropy
D: Turbulence in integrable systems (advanced)
References:
1. V. E. Zakharov, V. Lvov, G. Falkovitch, Kolmogorov spectra of turbulence, Springer 1992
2. S. Nazarenko, Wave turbulence, Springer, 2011
2. S. Nazarenko, Wave turbulence, Springer, 2011