arXiv Analytics

Sign in

arXiv:0906.4281 [math.PR]AbstractReferencesReviewsResources

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

Lihu Xu, Marco Romito

Published 2009-06-23, updated 2009-12-10Version 2

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.

Comments: 29 pages
Categories: math.PR, math.AP
Subjects: 76D05, 60H15, 35Q30, 60H30, 76M35
Related articles: Most relevant | Search more
arXiv:0910.0614 [math.PR] (Published 2009-10-05, updated 2010-01-30)
Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises
arXiv:2006.10049 [math.PR] (Published 2020-06-17)
Ergodicity of Burgers' system
arXiv:math/0210082 [math.PR] (Published 2002-10-05)
Ergodicity of the finite dimensional approximation of the 3D Navier-Stokes equations forced by a degenerate noise

Links

Toolbox