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Explore hidden symmetries in fluid dynamics through this comprehensive minicourse lecture. Delve into the theoretical foundations of recently discovered projective symmetries in fluid dynamics equations, examining their algebraic structure for both deterministic and statistical formulations. Learn how these symmetries underpin Kolmogorov self-similarity and intermittency in hydrodynamic turbulence. Analyze examples ranging from rigorously solvable models to numerical challenges in fluid dynamics equations. Part of an 8-lecture series presented by Professors Alexei Mailybaev (IMPA) and Simon Thalabard (U.Nice) at the Instituto de Matemática Pura e Aplicada, this session offers advanced insights into the mathematical intricacies of fluid dynamics.
