Small whirlpools can spontaneously merge into giant ones because of 'glitches' in the math of fluid motion.
April 15, 2026
Original Paper
Inverse Energy Cascade in Turbulent Taylor-Couette Flows
arXiv · 2604.08614
The Takeaway
Usually, big whirlpools break down into smaller ones (like a large wave crashing). But in some types of flow, the energy goes 'backward'—small swirls merge to become massive ones. This paper proves that this 'inverse energy cascade' is actually triggered by 'singularities' (mathematical points of infinite change) in the equations that describe fluids. It links abstract, 'unsolvable' math to a visible, physical phenomenon. This helps us understand how giant, long-lasting storms like Jupiter’s Great Red Spot form from tiny gusts of wind. For us on Earth, it’s a key to better weather forecasting and understanding how pollution spreads through the ocean.
From the abstract
The inverse energy cascade in turbulent Taylor-Couette flow is studied in line with the results of the large eddy simulation. The simulation results show that the inverse energy cascade first occurs within the core region of the flow channel of the Taylor-Couette flow at higher Reynolds number. It is uncovered that this phenomenon is induced by the pulsed zero shear stress resulting from the singularities of the Navier-Stokes equation. In the core area between the two cylinders, the shear stress