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Keywords:
stochastic; convective Brinkman-Forchheimer equations; algebra with mean value; sigma-convergence
stochastic; convective Brinkman-Forchheimer equations; algebra with mean value; sigma-convergence
Summary:
We study the homogenization of stochastic convective Brinkman-Forchheimer equations (SCBFE) or the tamed Navier-Stokes equations which describe the motion of incompressible fluid flows in satured porous medium. We combine some compactness arguments such as Prokhorov's and Skorokhod's probabilistic compactness results with the sigma-convergence method to prove that the sequence of solutions of the original problem converges in suitable topologies to the solution of a homogenized stochastic problem with constant coefficients.
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