Galerkin approximation and the strong solution of the Navier-Stokes equation. (2000)

• Record Type: Journal Article
• Authors: Breckner, Hannelore
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 13:Number 3(2000)
• Page Start: 239
• Page End: 259
• Publication Date: 2000
• Subjects: stochastic Navier-Stokes equation -- Itô integral -- Galerkin method; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953300000228
• Languages: English
• ISSNs: 1048-9533

Abstract

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.