• Corpus ID: 235651994

Chaos in stochastic 2d Galerkin-Navier-Stokes

  title={Chaos in stochastic 2d Galerkin-Navier-Stokes},
  author={Jacob Bedrossian and Samuel Punshon-Smith},
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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