Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise

Marco Romito and Lihu Xu

Stochastic Processes and their Applications, 2011, vol. 121, issue 4, 673-700

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.

Keywords: Stochastic; Navier-Stokes; equations; Martingale; problem; Markov; selections; Continuous; dependence; Ergodicity; Degenerate; noise; Malliavin; calculus (search for similar items in EconPapers)
Date: 2011
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