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

M. Romito, L. Xu

Research output: Book/ReportReportAcademic

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Abstract

We prove that the 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.
Original languageEnglish
Place of PublicationEindhoven
PublisherEurandom
Number of pages28
Publication statusPublished - 2010

Publication series

NameReport Eurandom
Volume2010006
ISSN (Print)1389-2355

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