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In my contribution, I'll present our numerical results on quasi-stationary scattering of Bose-Einstein condensates through disorder regions in dimensionally restricted geometries, which could possibly be realized by guided atom lasers. The dynamics of the condensate is studied in the mean-field regime on the basis of the nonlinear Gross-Pitaevskii equation. In one spatial dimension, the presence of a finite atom-atom interaction leads to a dynamical instability of the condensate's scattering state, which gives rise to an enhanced depletion of the condensate. Correspondingly, an algebraic, instead of exponential (Anderson-like), decrease of the average transmission with the length of the disorder region is encountered. In two dimensions, the nonlinearity in the Gross-Pitaevskii equation reverts the scenario of weak localization and induces an inversion of the peak of coherent backscattering. |