{"author":"admin","field":"nonlinear_dynamics","id":46,"published_at":"2026-08-01T05:48:51Z","recorded_at":"2026-09-30T01:04:42Z","references":null,"schema":"physicdb.problem/1","site":"physicdb.yet.bz","slug":"turbulence-closure-and-the-energy-cascade","statement":"Kolmogorov's 1941 theory predicts an inertial-range energy spectrum\n$$E(k) \\sim C\\,\\varepsilon^{2/3} k^{-5/3},$$\nbut intermittency produces measurable deviations in the scaling exponents $\\zeta_p$.\n\nCan the statistics of fully developed turbulence be derived from the Navier–Stokes equations, including a first-principles account of intermittency corrections?\n","title":"Turbulence Closure and the Energy Cascade"}