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We present a few--mode Galerkin model for convection in binary fluid layerssubject to an approximation to realistic horizontal boundary conditions atpositive separation ratios. The model exhibits convection patterns in form ofrolls and squares. The stable squares at onset develop into stable rolls athigher thermal driving. In between, a regime of a so-called crossroll structureis found. The results of our few--mode model are in good agreement with bothexperiments and numerical multi--mode simulations.

Roll and square convection in binary liquids: a few--mode Galerkin model