Li, Y. CharlesSango, MamadouWoukeng, Jean Louis2012-02-082012-02-082011Sango, M & Woukeng, JL 2011, 'Stochastic ∑-convergence and applications', Dynamics of Partial Differential Equations, vol. 8, no. 4, pp. 261-310.1548-159Xhttp://hdl.handle.net/2263/18044Motivated by the fact that in nature almost all phenomena behave randomly in some scales and deterministically in some other scales, we build up a framework suitable to tackle both deterministic and stochastic homogenization problems simultaneously, and also separately. Our approach, the stochastic ∑-convergence, can be seen either as a multiscale stochastic approach since deterministic homogenization theory can be seen as a special case of stochastic homogenization theory (see Theorem 3), or as a conjunction of the stochastic and deterministic approaches, both taken globally, but also each separately. One of the main applications of our results is the homogenization of a model of rotating fluids.en© 2011 International PressDynamical systemsStochastic ∑-convergenceHomogenization (Differential equations)Stokes equationsArticle