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arXiv:math/0410158 [math.PR]AbstractReferencesReviewsResources

Uniqueness of solutions of the stochastic Navier-Stokes equation with invariant measure given by the enstrophy

S. Albeverio, B. Ferrario

Published 2004-10-06Version 1

A stochastic Navier-Stokes equation with space-time Gaussian white noise is considered, having as infinitesimal invariant measure a Gaussian measure \mu_{\nu} whose covariance is given in terms of the enstrophy. Pathwise uniqueness for \mu_{\nu}-a.e. initial velocity is proven for solutions having \mu_{\nu} as invariant measure.

Comments: Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imstat.org/aop/) at http://dx.doi.org/10.1214/009117904000000379
Journal: Annals of Probability 2004, Vol. 32, No. 2, 1632-1649
Categories: math.PR
Subjects: 76D05, 76M35, 74H25, 60G17, 60H15
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