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Explore hidden symmetries in fluid dynamics through this comprehensive lecture series. Delve into the theoretical foundations of recently discovered projective symmetries in fluid dynamics equations, examining their algebraic structure for both deterministic and statistical formulations. Gain insights into the application of these symmetries to hydrodynamic turbulence theory, understanding how they underpin Kolmogorov self-similarity and intermittency phenomena. Analyze various examples ranging from rigorously solvable models to numerical challenges in fluid dynamics equations. Presented by Professors Alexei Mailybaev (IMPA) and Simon Thalabard (U.Nice), this course spans eight lectures over four weeks in January 2024, offering a deep dive into cutting-edge fluid dynamics research.
