Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise |
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| Authors: | Marco Romito Lihu Xu |
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| Affiliation: | a Dipartimento di Matematica, Università di Firenze, Viale Morgagni 67/a, I-50134 Firenze, Italyb PO Box 513, EURANDOM, 5600 MB Eindhoven, The Netherlands |
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| 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. |
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| Keywords: | primary, 76D05 secondary, 60H15, 35Q30, 60H30, 76M35 |
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