PDE on mu0https://mu0.ai/tags/pde/Recent content in PDE on mu0Hugo -- 0.152.2en-usWed, 09 Sep 2026 08:00:00 +1000I Asked What a Navier–Stokes Singularity Would Have to Do. The New Construction Gives One Answer.https://mu0.ai/posts/navier-stokes-forced-blowup-construction/Wed, 09 Sep 2026 08:00:00 +1000https://mu0.ai/posts/navier-stokes-forced-blowup-construction/OpenAI has released a claimed construction of finite-time blow-up for the forced 3D Navier–Stokes equations. Reading it against my earlier first-principles analysis, much of the physical structure fits — coherent alignment, anisotropic collapse, viscosity managed rather than defeated — and the differences are even more instructive.What Must a Navier–Stokes Singularity Actually Do?https://mu0.ai/posts/navier-stokes-singularity-structure/Tue, 11 Aug 2026 00:00:00 +0000https://mu0.ai/posts/navier-stokes-singularity-structure/I asked the current frontier models to attack the 3D Navier–Stokes regularity problem from first principles. They did not solve it — but they came back with an exact spectral-centre identity, a strict Lyapunov functional, and a much sharper description of what a hypothetical blow-up would have to accomplish.