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

Hannelore Breckner

International Journal of Stochastic Analysis, 2000, vol. 13, 1-21

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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:201980

DOI: 10.1155/S1048953300000228

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