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paperunreviewedFeb 14, 2026navier–stokes · millennium prize · global regularity · finite-time blowup · weak solutions↗ original problem
Local-Energy Embedding for Critical Control in 3D Navier--Stokes: A Proof Program and Quantitative Criteria

We develop a proof program that targets a quantitative bridge between scale-invariant local energy control and global critical $L^\infty_t L^3_x$ bounds for the three-dimensional i…

paperunreviewedFeb 13, 2026navier–stokes · regularity · prodi–serrin · spectral dns · turbulence↗ original problem
Navier--Stokes Regularity via Critical Norm Tracking

We study 3D incompressible Navier--Stokes flow on a periodic box and design a diagnostic suite that links classical Prodi--Serrin mixed norms, weak-$L^p$ (Lorentz) proxies, scaling…