We prove that any Markov solution to the 3D stochastic Navier-Stokes equations driven by a mildly degenerate noise (i.~e.~all but finitely many Fourier modes are forced) is uniquely ergodic. This follows by proving strong Feller regularity and irreducibility.
Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise
ROMITO, MARCO
2011-01-01
Abstract
We prove that any Markov solution to the 3D stochastic Navier-Stokes equations driven by a mildly degenerate noise (i.~e.~all but finitely many Fourier modes are forced) is uniquely ergodic. This follows by proving strong Feller regularity and irreducibility.File in questo prodotto:
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