PPL 136 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.27
Prize Problem LedgerRidgway Scott FoundationPPL 136Ridgway Scott · Strouhal Prize · Periodic flow around a cylinder

Permanent problem IDPPL 136

Verified openInstitutionalconjecture

Partial differential equations

Ridgway Scott · Strouhal Prize · Periodic flow around a cylinder

Prove the existence of a nonconstant time-periodic two-dimensional Navier–Stokes solution for flow around a cylinder in the indicated Reynolds-number regime, roughly 50–1000, or prove that none exists.

Navier–Stokesperiodic solutionsfluid dynamics
01

The problem

Prove the existence of a nonconstant time-periodic two-dimensional Navier–Stokes solution for flow around a cylinder in the indicated Reynolds-number regime, roughly 50–1000, or prove that none exists.

Open since2025dated prize PDF
Last checked2026.07.27Catalog verification
02

Reward offers

Offer 01$1,000Ridgway Scott Foundation
Documented

Publish either the existence proof or the nonexistence proof described in the official PDF. First-solver priority and detailed adjudication are not specified.

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Sources & reading