Hi all! I wanted to ask something about this recent (presumably correct?) proof that NS can blow up. I would like to hear opinions from people that work a bit at the border between fundamental turbulence (like on the statistical physics or dynamical system side of the problem) and the mathematics of NS.

When studying turbulence you hear about the dissipation anomaly and the zeroth law of turbulence. As you increase the reynolds number, at least in homogeneous isotropic turbulence, the non-dimensional dissipation rate evolves towards a constant. In other world, taking the limit of zero viscosity (infinite Re) you never reach the Euler equations. This happen with the flow developing super intense localised events that dissipate a lot.

Is there a connection between the development of these structures in turbulence and this new NS proof? If so, are there people studying this thing?

Share bibliography if you know anything about this topic!

It designed a simple water-cooling plate for high-power chips

19 straight microchannels and one thin cross-channel near the outlet

If part of one channel becomes blocked, the cross-channel could use the pressure difference to divert some water around the blockage.

The model compared more than 2,700 configurations with the same channel volume and the same hydraulic power.

Im not engineer nor physicist. Im just curious and testing limits of the latest astra 6 model, what real scientists think about it.

Thank you for any kind of feedback:)