(I am again posting this comment, which was certainly censored in error: https://news.ycombinator.com/item?id=49605915#49633297 )
What about compressible fluids? Existing Navier-Stokes models for compressible fluids:
"On the implosion of a compressible fluid II: Singularity formation" (2022) https://projecteuclid.org/journals/annals-of-mathematics/vol...
"Blow-up of the 3-D compressible Navier-Stokes equations for monatomic gases" (2025) https://arxiv.org/html/2501.15701v2
...
From https://news.ycombinator.com/item?id=49389524#49404787:
> "I/Q Sampling for Signal Phase" (2026-08) https://share.gemini.google/rDVcVwDnWPTc :
>> It's a Twistor-Grassmanian mapping?
From "Navier-Stokes Breakthrough, FTLE, and SQG" (2026-09) https://share.gemini.google/sq2XmhphMFWE :
> The Mathematical Formulation: Because SQS is explicitly a superfluid Bose–Einstein condensate, treating it purely as a classical Navier–Stokes fluid misses quantized vorticity. The full formulation maps to the Gross–Pitaevskii (Euler–Korteweg) equations via the Madelung transformation
...
> To adapt the Córdoba–Martínez-Zoroa (CMZ) / Buckmaster / OpenAI Lean cascade to Euler–Korteweg, three core structural adjustments must be made:
> - Irrotationality Constraint
> - Third-Order Dispersion
> - Hydrodynamic Energy Functional