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The Stochastic 2D Navier—Stokes Equation

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Book cover Kolmogorov Equations for Stochastic PDEs

Part of the book series: Advanced Courses in Mathematics CRM Barcelona ((ACMBIRK))

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Abstract

We are here concerned with the Navier-Stokes equation in O = [0, 2π] x [0, 2π] perturbed by noise. For the sake of simplicity we shall only consider periodic boundary conditions and coulored noise. For Dirichlet boundary conditions see [8], for the 2D Navier-Stokes equation driven by white noise see [33].

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© 2004 Springer Basel AG

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Da Prato, G. (2004). The Stochastic 2D Navier—Stokes Equation. In: Kolmogorov Equations for Stochastic PDEs. Advanced Courses in Mathematics CRM Barcelona. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7909-5_6

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  • DOI: https://doi.org/10.1007/978-3-0348-7909-5_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-7216-3

  • Online ISBN: 978-3-0348-7909-5

  • eBook Packages: Springer Book Archive

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