Notes on Statistically Invariant States in Stochastically Driven Fluid Flows

Abstract

These expository notes address certain stationary and ergodic properties of the equations of fluid dynamics subject to a spatially degenerate (i.e. frequency localized), white in time gaussian forcing. In order to provide an accessible treatment of some recent progress in this subject we will develop ideas in detail for a class of finite dimensional models.

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Cited by in corpus (2)

• A Unifying and Canonical Description of Measure-Preserving Diffusions
• On the Galerkin approximation and strong norm bounds for the stochastic Navier-Stokes equations with multiplicative noise