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MR1722141 (2000k:76040) 76D05 (35Q30 35R60 37H99 37L30 37L40 60H30)
Mattingly, Jonathan C. Ergodicity of $2$D Navier-Stokes equations with random forcing and large viscosity. Comm. Math. Phys. 206 (1999), no. 2, 273--288.
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