A Reddit post discusses theoretical limitations in modern mathematical fluid dynamics, specifically in areas like PDE regularity theory, infinite-dimensional Riemannian geometry, and topological quantum hydrodynamics. The post details how Arnold's geodesic formulation on SDiff(M) is hindered by negative sectional curvature, leading to Lagrangian chaos. It also explains how classical Clebsch potentials are topologically broken and how modern geometric hydrodynamics uses spinor representations to overcome these issues, despite encountering challenges with vortex reconnection. AI
RANK_REASON The item is a discussion of a research paper or theoretical concepts in a scientific field. [lever_c_demoted from research: ic=1 ai=0.4]
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