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Stochastic Navier-Stokes equations

✍ Scribed by Marek Capiński; Nigel Cutland


Publisher
Springer Netherlands
Year
1991
Tongue
English
Weight
933 KB
Volume
25
Category
Article
ISSN
0167-8019

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✦ Synopsis


We construct a solution to stochastic Navier-Stokes equations in dimension n ~< 4 with the feedback in both the external forces and a general infinite-dimensional noise. The solution is unique and adapted to the Brownian filtration in the 2-dimensional case with periodic boundary conditions or, when there is no feedback in the noise, for the Dirichlet boundary condition. The paper uses the methods of nonstandard analysis.


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