Ergodicity of 2 D Navier-stokes Equations with Random Forcing and Large Viscosity

  title={Ergodicity of 2 D Navier-stokes Equations with Random Forcing and Large Viscosity},
  author={Jonathan C. Mattingly},
The stochastically forced, two-dimensional, incompressable Navier-Stokes equations are shown to possess an unique invariant measure if the viscosity is taken large enough. This result follows from a stronger result showing that at high viscosity there is a unique stationary solution which attracts solutions started from arbitrary initial conditions. That is to say, the system has a trivial random attractor. Along the way, results controling the expectation and averaging time of the energy and… CONTINUE READING
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Submitted to The Annals of Mathematics

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