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We investigate the evolution of the ridge produced by the convergent motion of two substrates, on which a layer of a non–Newtonian power–law liquid rests. We focus on the self–similar regimes that occur in this process. For short times, within the linear regime, the height and the width increase as t1/2, independently of the rheology of the liquid. In the self– similar regime for large time, the height and the width of the ridge follow power laws whose exponents depend on the rheological index.

Self–similar asymptotics in convergent viscous gravity currents of non–Newtonian liquids