Hidden symmetries in fluid dynamics

  • Replay on IMPA YouTube Channel

  • Layout:

    • Lecture 1: Navier-Stokes (NS) and Euler equations. Symmetries. Conservation of energy.

    • Lecture 2: NS turbulence, Gaussian HIT, Gaussian vs. NS, viscous effects.

    • Lecture 3: Scaling anomaly, Random-h model, Multifractal theory.

    • Lecture 4: Solvable intermittent model of turbulence.

    • Lecture 5: Hidden scaling symmetry in shell models. Anomalous scaling laws.

    • Lecture 6: Kolmogorov multipliers. Rescaled NS equations.

    • Lecture 7: Hidden symmetries in NS turbulence.

    • Lecture 8: Group theory approach to hidden scaling symmetries.

    • Lecture 9: Group theory approach to quasi-Lagrangian formalism. Perspectives.

  • Class Notes
    • Simon (lecture_1, lecture_2, lecture_3, lecture_6_7)
    • Alexei (lecture_4_5_6, lecture_8_9)