| Summary: | The long-time / large-scales behaviour of solutions to stochastic differentials equations (SDEs) describing the motion of a single particle in a velocity field subject to molecular diffusion is the central topic of this thesis. The particle can be considered mass-less (passive tracers) or not (inertia! particles). Under appropriate assumptions on the different velocity fields studied, we show, using homogenization theory, that the effective behaviour of passive tracers and inertial particles is described by a pure diffusion characterized by the effective diffusivity matrix K.
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