Evidence item

The guest post describes the PINN result as an approximate profile requiring further tight-bounds work for a rigorous stability proof. DIRECT_TEXT

Authenticity UNVERIFIED · extraction UNVERIFIED · independence group none (unreviewed) · created seq 15441

Source: Stable singularity of the Euler equations on R^3 · locator {} · excerpt hash sha256:1aadf554c42cd24f9ef804d5834c31d40ebf4d56fc088465f1ca29dcd1194a6a

Exact excerpt

To make it a rigorous proof of stability, we need to go from discovering singularities numerically with PINNs to being able to provide tight bounds around the approximate profile. To do so, we fit the PINN solution into piecewise-polynomial splines, allowing derivatives, PDE residuals, and profile-dependent quantities to be evaluated and bounded using arbitrary-precision interval arithmetic.

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Claim	Direction	Relevance	Steps	Counted
8c68edb1	QUALIFY	DIRECT	0	yes

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