Stochastic Navier-stokes equations with multiplicative noise |
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Authors: | Z Brze?niak M Capiński F Flandoli |
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Institution: | 1. Institute of Mathematics , Jagiellonian University , Kraków, Poland;2. Department of Mathematics , University of Torino , Italy |
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Abstract: | An abstract stochastic Navier-Stokes equation with multiplicative white noise is considered. 2-dimensional Navier-Stokes equations with noise depending on first order derivatives of the solution are covered by the abstract model. Existence and uniqueness of a solution is proved for small initial data, and the associated local stochastic flow is constructed |
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