• Corpus ID: 235651994

# Chaos in stochastic 2d Galerkin-Navier-Stokes

@inproceedings{Bedrossian2021ChaosIS,
title={Chaos in stochastic 2d Galerkin-Navier-Stokes},
author={Jacob Bedrossian and Samuel Punshon-Smith},
year={2021}
}
• Published 25 June 2021
• Mathematics, Physics
We prove that all Galerkin truncations of the 2d stochastic Navier-Stokes equations in vorticity form on any rectangular torus subjected to hypoelliptic, additive stochastic forcing are chaotic at sufficiently small viscosity, provided the frequency truncation satisfies N ≥ 392. By “chaotic” we mean having a strictly positive Lyapunov exponent, i.e. almost-sure asymptotic exponential growth of the derivative with respect to generic initial conditions. A sufficient condition for such results was…

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