3 problems
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Eyink's enstrophy-defect conjecture
Eyink's conjecture. Both enstrophy defects are well-defined, they give rise to the same distribution in the limit, and they do not always vanish.
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Eyink's enstrophy-flux conjecture for viscosity solutions of 2D Euler
Let a viscosity solution be a 2D Euler solution obtained as a zero-viscosity limit of Leray solutions of 2D Navier–Stokes whose energy spectra satisfy a uniform upper bound by the…
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Eyink's enstrophy-dissipation conjecture for turbulent 2D Euler solutions
Let the weak solutions be the distributional 2D incompressible Euler solutions considered in the paper, obtained as zero-viscosity limits of 2D Navier–Stokes solutions with the sta…