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| We consider the evolution Stokes equation in a perforated domain subject to the Fourier boundary condition on the boundaries of the holes is considered. We assume that the dynamics are driven by a stochastic perturbation on the interior of the domain and another stochastic perturbation on the boundaries of the holes. The macroscopic (homogenized) equation is derived as a stochastic partial differential equation, defined in the whole non-perforated domain, and the initial stochastic perturbation on the boundary becomes part of the homogenized equation as an additional stochastic force. |
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