Stochastic Navier-stokes equations with multiplicative noise |
| |
| Authors: | Z Brze?niak M Capiński F Flandoli |
| |
| Institution: | 1. Institute of Mathematics , Jagiellonian University , Kraków, Poland;2. Department of Mathematics , University of Torino , Italy |
| |
| 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 |
| |
| Keywords: | |
|
|
