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Ergodicity and Statistical Stability of 2D Fluids under Random Forcing at a Particular Scale
Jonathan Mattingly
Duke University
Abstract
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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