Galerkin approximation and the strong solution of the Navier-Stokes equation-Reference-Cited by-同舟云学术

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

Published:2000-01-01 Issue:3 Volume:13 Page:239-259
ISSN:1048-9533
Container-title:Journal of Applied Mathematics and Stochastic Analysis
language:en
Short-container-title:Journal of Applied Mathematics and Stochastic Analysis

Author:

Breckner Hannelore¹

Affiliation:

1. Martin-Luther Universität Halle- Wittenberg, Fachbereich Mathematik und Informatik, Institut für Optimierung und Stochastik, Halle (Saale) D-06099, Germany

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Link

http://downloads.hindawi.com/archive/2000/201980.pdf

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