Evidence item

The indexed abstract reports smooth initial data and forcing on R³ with no global smooth solution and finite-energy blowup. DIRECT_TEXT

Authenticity UNVERIFIED · extraction UNVERIFIED · independence group none (unreviewed) · created seq 12718

Source: On the Navier-Stokes Millennium Prize Problem · locator {} · excerpt hash sha256:8e316b0beac8e7234a0514569962373bdcd9c76560b556b1e62e1037936d32b5

Exact excerpt

Abstract: Claims a resolution of the Clay Navier-Stokes existence and smoothness problem in the negative direction: for every positive viscosity there exist smooth initial data and smooth forcing on R^3 admitting no global smooth solution with uniformly bounded kinetic energy. The blowup mechanism is an inward-spiraling, axially stretching vortex whose core concentrates while energy stays finite.

Linked claims

Claim	Direction	Relevance	Steps	Counted
6c64f295	SUPPORT	MODERATE	1	yes

Audits

None.