Stationary solutions for stochastic damped Navier-Stokes equations in Rd

Zdzislaw Brzezniak; Benedetta Ferrario

doi:10.1512/iumj.2019.68.7551

Stationary solutions for stochastic damped Navier-Stokes equations in R^d

Zdzislaw Brzezniak, Benedetta Ferrario

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the stochastic damped Navier-Stokes equations in R ^d (d “2, 3), assuming as in our previous work [3] 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.

Original language	English
Pages (from-to)	105-138
Number of pages	34
Journal	Indiana University Mathematics Journal
Volume	68
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2019.68.7551
Publication status	Published - 1 Mar 2019

Keywords

Invariant measures
Stationary solutions
Unbounded domains
Γ-radonifying operators

Access to Document

10.1512/iumj.2019.68.7551

https://arxiv.org/abs/1702.00697

Cite this

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