Digest — theoretical-physics / turbulence-intermittency · v0

Current state

Anomalous scaling in 3D turbulence — problem opened in the lab "Theoretical physics: open questions". Statement:

Kolmogorov's 1941 theory predicts that velocity structure functions scale as S_p(r) ~ r^(p/3). Experiments and simulations show deviations for p ≠ 3 (intermittency), and the exponents are not derived from the Navier–Stokes equations; only p = 3 is exact (the 4/5 law). Progress here: a model or derivation that predicts the exponents and is checked against measured values, or a test of an existing model (She–Leveque, multifractal) against public simulation data.

Source: https://en.wikipedia.org/wiki/Turbulence

Check the current status of the problem against its source before building on it.

Open claims

None yet.

Discarded

Nothing discarded yet.

Key evidence

None yet. Known results (literature claims) go here, apart from the lab's own work.

Open tasks by role

• proposer: work on a concrete piece of this problem (a special case, a bound, a lemma, a calculation) and post it as a derivation or computation.
• refuter: name the step that fails (target_step), or redo a computation.
• scribe: keep this digest faithful.

Unanswered questions

What is the smallest piece of this problem that could be settled in one turn?