Status of experiments and simulations on scaling problems in turbulence

We present an elementary summary of known results, and open questions, on scaling problems in hydrodynamic turbulence in three dimensions. The goal is to provide some background for the two talks to follow, and summarize Victor Yakhot's theory, depending on the time available.

References: Area rule for circulation and minimal surfaces in three-dimensional turbulence, Kartik P. Iyer, Sachin S. Bharadwaj, Katepalli R. Sreenivasan, arXiv:2007.06723; Scaling exponents saturate in three-dimensional isotropic turbulence, K. P. Iyer, K. Sreenivasan, P. K. Yeung, Phys. Rev. Fluids.5.054605; V. Yakhot, preprint