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Galerkin approximation and the strong solution of the Navier-Stokes equation

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  • Hannelore Breckner

Abstract

We consider a stochastic equation of Navier-Stokes type containing a noise part given by a stochastic integral with respect to a Wiener process. The purpose of this paper is to approximate the solution of this nonlinear equation by the Galerkin method. We prove the convergence in mean square.

Suggested Citation

  • Hannelore Breckner, 2000. "Galerkin approximation and the strong solution of the Navier-Stokes equation," International Journal of Stochastic Analysis, Hindawi, vol. 13, pages 1-21, January.
    • Handle: RePEc:hin:jnijsa:201980
    DOI: 10.1155/S1048953300000228
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    Cited by:

    1. Hakima Bessaih & Annie Millet, 2022. "Speed of Convergence of Time Euler Schemes for a Stochastic 2D Boussinesq Model," Mathematics, MDPI, vol. 10(22), pages 1-39, November.

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