Derives an N^{4+ε} incidence bound on orbit-triad interactions via reduction to the two-squares representation function, plus exact orbit-level enstrophy identity and Sobolev row-sum bounds for the symmetry-reduced transfer matrix.
Kiriukhin,Orbit-Level Stretching in Cubic Fourier–Galerkin Navier–Stokes: Sharp Incidence, Spectral Decay, and a Continuation Criterion
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Orbit-Level Transfer Matrix for the 3D Fourier-Galerkin Navier-Stokes System on the Periodic Torus: Explicit Orbit-Triad Incidence Bounds and Deterministic Row-Sum Estimates
Derives an N^{4+ε} incidence bound on orbit-triad interactions via reduction to the two-squares representation function, plus exact orbit-level enstrophy identity and Sobolev row-sum bounds for the symmetry-reduced transfer matrix.