Publikation: A parabolic cross-diffusion system for granular materials
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2002
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Galiano, Gonzalo
Jüngel, Ansgar
Velasco, Julián
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A cross-diffusion system of parabolic equations for the relative concentration and the dynamic repose angle of a mixture of two different granular materials in a long rotating drum is studied. The main feature of the system is the ability to describe the axial segregation of the two granular components. The existence of global-in-time weak solutions is shown by using entropy-type inequalities and approximation arguments. The uniqueness of solutions is proved if cross-diffusion is not too large. Furthermore, we show that in the non-segregating case, the transient solutions converge exponentially fast to the constant steady-state as time tends to infinity. Finally, numerical simulations show the long-time coarsening of the segregation bands in the drum.
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GALIANO, Gonzalo, Ansgar JÜNGEL, Julián VELASCO, 2002. A parabolic cross-diffusion system for granular materialsBibTex
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