# OpenAI agents solve the Navier–Stokes existence and smoothness problem

**URL:** <https://community.openai.com/t/openai-agents-solve-the-navier-stokes-existence-and-smoothness-problem/1395873>\
**Category:** Community\
**Tags:** codex, agents\
**Created:** [September 8, 2026, 5:34pm UTC](https://community.openai.com/t/openai-agents-solve-the-navier-stokes-existence-and-smoothness-problem/1395873 "2026-09-08T17:34:11Z")\
**Posts on this page:** 1\
**Showing post:** 6

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**Author:** ![TNcycling](https://avatars.discourse-cdn.com/v4/letter/t/6de8d8/32.png) [@TNcycling](https://community.openai.com/u/TNcycling)\
**Post date:** [September 9, 2026, 5:29pm UTC](https://community.openai.com/t/openai-agents-solve-the-navier-stokes-existence-and-smoothness-problem/1395873/6 "2026-09-09T17:29:32Z")

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There is a striking similarity between the vortical structure illustrated in this announcement and the “vortex string” geometry reported by R. C. Y. Mui, D. G. Dommermuth, and E. A. Novikov in 1996.

I have in mind Figure 1 of their paper, **“Conditionally averaged vorticity field and turbulence modeling,” Physical Review E 53, 2355–2359 (1996)**. Figure 1 shows a thin, strongly twisted/spiraling vortical structure with an elongated axial component. The paper explicitly discusses this structure as a “vortex string” and relates its twisting component to vortex stretching.

The resemblance to the structure described here — a vortex that **spirals inward and becomes increasingly elongated** , while the energy remains finite — seems unusually close. The similarity is not simply that both involve vortex filaments; the overall twisting, elongation, and axial stretching are visually and geometrically quite striking.

The 1996 work was a conditional/statistical description of intense vortical structures in turbulence, based on DNS, and was **not** a construction of a finite-time Navier–Stokes singularity. I am therefore not suggesting that it proves the present result.

Rather, I wonder whether it would be useful to compare the **actual local vorticity and velocity fields, as well as their scaling laws** , in the 1996 vortex-string structure and in the present construction. There may be an interesting connection here that is worth examining.

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