A condition u · ∇E = 0 derived from the energy transport equation is claimed to characterize the laminar-to-turbulent transition and finite-time weak singularities in 3D NS equations.
(2001).Navier-Stokes Equations: Theory and Numerical Analysis
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Finite-Time Weak Singularities and the Statistical Structure of Turbulence in 3D Incompressible Navier-Stokes Equations
A condition u · ∇E = 0 derived from the energy transport equation is claimed to characterize the laminar-to-turbulent transition and finite-time weak singularities in 3D NS equations.