Stochastic Navier-Stokes equations |
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| Authors: | Marek Capiński Nigel Cutland |
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| Institution: | (1) Department of Pure Mathematics, University of Hull, HU6 7RX Hull, England;(2) Present address: Institute of Mathematics, Jagiellonian University, Kraków, Poland |
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| Abstract: | 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.The research of this author was supported by an SERC Grant. |
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| Keywords: | 76D05 35Q30 60H15 26E35 28E05 |
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