Navier-Stokes AI Credit & Proof Workbench

C^∞ Fluid Vorticity Vector Field

Click & drag on the canvas to perturb flow; observe blow-up singularity suppression

ω_max: 1.42

Viscosity (ν): 0.082 | Reynolds: Re < 2400

Smoothness: L^2 Bounded

Vorticity Threshold (||ω||_L∞ limit) 1.42

Beale-Kato-Majda regularity bound threshold preventing blow-up

Claim Smoothness Confidence 92.4%

Rigorous analytic continuation over unbounded time domain

C^∞ Regularity Smooth velocity field for all x ∈ R^3

Finite Energy ∫_R^3 |u(x,t)|^2 dx < C constant

No Blow-up Singularities Zero finite-time energy dissipation spikes

CLAIM EVALUATION AUDIT Contested Attribution

Composite Score

84.2%

Weighted validity & ethics index

Proof Status

Verified Proof Candidate

Formal proof & peer replication

Evaluated Source Subject:

OpenAI Unreleased Reasoning Model (Alpha-7)

Claim: Navier-Stokes Regularity & Smoothness

Total: 100%

Balance AI model generative discovery against centuries of foundational human partial differential equations and privacy-compliant training corpora.

AI Reasoning Engine Share 55%

Automated Lemma Proving Autonomous Search

Human Foundational PDE Math 35%

Leray, Tao, Fefferman priors Analytical Framework

Benchmark Ethics & Data Privacy 10%

Uncredited Pre-print Contamination Risk Open Science

AI Model Human Priors Ethics/Privacy

Attribution Tension Index: Moderate Dispute (AI > 50%)