What Makes the Hardest Equations in Physics So Difficult? | Quanta Magazine
What Makes the Hardest Equations in Physics So Difficult? | Quanta Magazine:
When you start modeling a flow using Navier-Stokes, your fluid will have some initial amount of energy. But in a turbulent flow, that energy can get concentrated. Instead of being distributed evenly across the river, kinetic energy may gather in arbitrarily small eddies, and particles in those eddies could (theoretically) be accelerated to infinite velocity.
... turbulence is meant to describe exactly this — the transfer of kinetic energy from large to smaller and smaller scales...