Duality of Fluid Mechanics and Solution of Decaying Turbulence

Watch a detailed physics lecture exploring the duality of incompressible Navier-Stokes fluid dynamics in three dimensions and its reformulation through one-dimensional momentum loop equations. Delve into decaying turbulence solutions equivalent to string theory with discrete target space composed of regular star polygons and Ising degrees of freedom. Learn how this string theory becomes solvable in the turbulent limit, leading to analytical computations of decay indexes that align with experimental results. Examine the relationship between complex conjugate pairs of decay indexes and Riemann zeta function zeros, while understanding why Kolmogorov scaling laws are refuted. Discover why momentum loop equations prevent finite-time blow-up solutions in this advanced exploration of fluid mechanics and mathematical physics.