Stationary solutions for stochastic damped Navier-Stokes equations in Rd

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Publication details

JournalIndiana University Mathematics Journal
DateAccepted/In press - 30 Apr 2017
DatePublished (current) - 1 Mar 2019
Issue number1
Volume68
Number of pages34
Pages (from-to)105-138
Original languageEnglish

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.

    Research areas

  • Invariant measures, Stationary solutions, Unbounded domains, Γ-radonifying operators

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