Work

Statistical instability of a stochastically forced shear

Year: 2026

Type: preprint

Abstract: For a fixed elongated rectangular torus and forcing in the single vorticity mode sin y, the stochastically forced two-dimensional Navier–Stokes equations have, at sufficiently small viscosity, an ergodic invariant measure not supported on shear flows. This release archives the project website, which contains a digested account of the argument and the full raw proof. The raw proof was written by an AI model and has not been checked by a human. Project website: https://transverse-instability.github.io/. The project is listed on mathStoa, an archive for open mathematical research projects: https://math-stoa.org/.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.23986032

Authors: Rosati, Tommaso, Punshon-Smith, Sam

Institutions: Imperial College London, Tulane University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225311293

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