Random attractors for the stochastic Navier-Stokes equations on the 2D unit sphere. (English) Zbl 1390.35260
Summary: In this paper we prove the existence of random attractors for the Navier-Stokes equations on 2 dimensional sphere under random forcing irregular in space and time. We also deduce the existence of an invariant measure.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 35B41 | Attractors |
| 35R60 | PDEs with randomness, stochastic partial differential equations |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 76U05 | General theory of rotating fluids |
| 86A05 | Hydrology, hydrography, oceanography |
| 76M35 | Stochastic analysis applied to problems in fluid mechanics |
Keywords:
random attractors; energy method; asymptotically compact random dynamical systems; stochastic Navier-Stokes; unit sphereReferences:
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