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Random attractors for the 3D stochastic Navier-Stokes equation with multiplicative white noise. (English) Zbl 0870.60057
The random attractor to the 3-dimensional Navier-Stokes equation is studied. The authors formulate an existence theorem for attractors of non-autonomous dynamical systems on a bundle of vector spaces. They use this theorem to prove the existence of an attractor for the 3-dimensional Navier-Stokes equation with multiplicative white noise.

MSC:
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
35G10 Initial value problems for linear higher-order PDEs
35K25 Higher-order parabolic equations
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