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ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Local Solutions for Stochastic Navier Stokes Equations
Alain Bensoussan, Jens Frehse
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 34 / Issue 2 / March 2000

Published online by Cambridge University Press:

15 April 2002, pp. 241-273

Print publication:

March 2000
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In this article we consider local solutions for stochastic Navier Stokesequations, based on the approach of Von Wahl, for the deterministic case. Wepresent several approaches of the concept, depending on the smoothnessavailable. When smoothness is available, we can in someway reduce thestochastic equation to a deterministic one with a random parameter. In thegeneral case, we mimic the concept of local solution for stochasticdifferential equations.