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

@inproceedings{Mattingly1999ErgodicityO2, title={Ergodicity of 2 D Navier-stokes Equations with Random Forcing and Large Viscosity}, author={Jonathan C. Mattingly}, year={1999} }

- Published 1999

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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