Ergodicity and Statistical Stability of 2D Fluids under Random Forcing at a Particular Scale

Jonathan Mattingly
Duke University

I will discuss conditions which ensure that randomness injected at a certain scale spreads though out the phasespace of a randomly excited PDES. My main example will be the 2D Navier-Stokes equations. In addition to ergodicity, I will prove exponential mixing and that the statistical steady states depend continuously on the parameters of the system.

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