For every positive viscosity, the manuscript reports a three-dimensional incompressible Navier–Stokes flow starting from rest with smooth compactly supported forcing, bounded kinetic energy, and unbounded velocity in finite time.
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For every positive viscosity, the manuscript reports a three-dimensional incompressible Navier–Stokes flow starting from rest with smooth compactly supported forcing, bounded kinetic energy, and unbounded velocity in finite time. It claims Clay alternatives C on R³ and D on the periodic torus.
Read original source Original manuscript, Theorem 1.1cdn.openai.com
Original report: 2026-09-08For every positive viscosity, the manuscript reports a three-dimensional incompressible Navier–Stokes flow starting from rest with smooth compactly supported forcing, bounded kinetic energy, and unbounded velocity in finite time. It claims Clay alternatives C on R³ and D on the periodic torus.
If correct, settles the specified smooth-forcing breakdown alternatives of a Millennium Prize problem, despite leaving the unforced question separate.
A sourced result with the exact hypotheses, baseline, and AI role stated; verification is assessed separately.
Background review: 2026-10-11. Selected sources:
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