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Bibliografie

Journal Article

Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains

Brzezniak Z., Motyl E., Ondreját Martin

: Annals of Probability vol.45, 5 (2017), p. 3145-3201

: GA15-08819S, GA ČR

: Invariant measure, bw-Feller semigroup, stochastic Navier–Stokes equation

: 10.1214/16-AOP1133

: http://library.utia.cas.cz/separaty/2017/SI/ondrejat-0478383.pdf

(eng): Building upon a recent work by two of the authors and J. Seidler on bw-Feller property for stochastic nonlinear beam and wave equations, we prove the existence of an invariant measure to stochastic 2-D Navier–Stokes (with multiplicative noise) equations in unbounded domains. This answers an open question left after the first author and Y. Li proved a corresponding result in the case of an additive noise.

: BA

: 10103