Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
Authors:
- 1 October 1996
- journal article
- research article
- Published by Taylor & Francis in Stochastics and Stochastic Reports
- Vol. 59 (1-2) , 21-45
Abstract
The random attractor to the stochastic 3D Navier-Stokes equation will be studied. In the first part we formulate an existence theorem for attractors of non-autonomous dynamical systems on a bundle of metric spaces. Using this theorem we can prove the existence of an attractor for the 3D Navier-Stokes equation with multiplicative white noise. In addition we prove that this attractor is a random multi-functionKeywords
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