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

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.

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Year of publication:	2011
Authors:	Romito, Marco ; Xu, Lihu
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 121.2011, 4, p. 673-700
Publisher:	Elsevier
Keywords:	Stochastic Navier-Stokes equations Martingale problem Markov selections Continuous dependence Ergodicity Degenerate noise Malliavin calculus

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008874766