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- W1630758211 abstract "Gaussian measures $mu^{beta,nu}$ are associated to some stochastic 2D hydrodynamical systems. They are of Gibbsian type and are constructed by means of some invariant quantities of the system depending on some parameter $beta$ (related to the 2D nature of the fluid) and the viscosity $nu$. We prove the existence and the uniqueness of the global flow for the stochastic viscous system; moreover the measure $mu^{beta,nu}$ is invariant for this flow and is unique. Finally, we prove that the deterministic inviscid equation has a $mu^{beta,nu}$-stationary solution (for any $nu>0$)." @default.
- W1630758211 created "2016-06-24" @default.
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- W1630758211 date "2011-10-29" @default.
- W1630758211 modified "2023-09-27" @default.
- W1630758211 title "2D hydrodynamical systems: invariant measures of Gaussian type" @default.
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