We consider the stochastic damped Navier-Stokes equations in R^d ( d = 2 , 3), assuming that the covariance of the noise is not too regular, so Itô calculus cannot be applied in the space of finite-energy vector fields. We prove the existence of an invariant measure when d =2 and of a stationary solution when d =3.
Stationary solutions for stochastic damped navier-stokes equations in R d
Ferrario B.
2019-01-01
Abstract
We consider the stochastic damped Navier-Stokes equations in R^d ( d = 2 , 3), assuming that the covariance of the noise is not too regular, so Itô calculus cannot be applied in the space of finite-energy vector fields. We prove the existence of an invariant measure when d =2 and of a stationary solution when d =3.File in questo prodotto:
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