Abstract.
For 2-D stochastic Navier-Stokes equations on the torus with multiplicative noise we construct a perfect cocycle and show the existence of global random compact attractors. The equations considered do not admit a pathwise method of solution.
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Received: 9 June 1998 / Revised version: 17 December 1998
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Capiński, M., Cutland, N. Existence of global stochastic flow and attractors for Navier–Stokes equations. Probab Theory Relat Fields 115, 121–151 (1999). https://doi.org/10.1007/s004400050238
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DOI: https://doi.org/10.1007/s004400050238
- Mathematics Subject Classification (1991): Primary 35Q30, 60H15, 60G60; Secondary 35R60, 76D05, 60J25
- Key words and phrases. Stochastic Navier–Stokes equations, stochastic flow, stochastic attractors.