Stochastic Navier-stokes equations with multiplicative noise
- 1 January 1992
- journal article
- research article
- Published by Taylor & Francis Ltd in Stochastic Analysis and Applications
- Vol. 10 (5), 523-532
- https://doi.org/10.1080/07362999208809288
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 constructedKeywords
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