An approximation theorem of Wong-Zakai type for stochastic Navier-Stokes equations
type: Item
instance of: scholarly article
title: An approximation theorem of Wong-Zakai type for stochastic Navier-Stokes equations
zbMATH Open document ID: 0882.35140
author: Krystyna Twardowska
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1998-03-03T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108407
review text: The author presents an extension of the Wong-Zakai approximation theorem for stochastic Navier-Stokes equations defined in abstract spaces and with some Hilbert space valued disturbances given by a Wiener process. By approximating these disturbances, the author obtains in the limit equation the Itô correction term for the infinite-dimensional case. A theorem of this type for nonlinear stochastic partial differential equations, more exactly for the model considered by \textit{E. Pardoux} [Semin. Equ. Deriv. Part., Exposé No. II (1975; Zbl 0363.60041)] one can find in \textit{K. Twardowska} [Stochastic Anal. Appl. 13, No. 5, 601-626 (1995; Zbl 0839.60059)].
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 60H15
zbMATH DE Number: 1021758
zbMATH Keywords: Wong-Zakai approximation theorem
zbMATH Keywords: stochastic Navier-Stokes equations
zbMATH Keywords: Wiener process
zbMATH Keywords: Itô correction term
reviewed by: Stanisław Wedrychowicz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1021758