A parabolic cross-diffusion system for granular materials

Galiano, Gonzalo; Jüngel, Ansgar; Velasco, Julián

A parabolic cross-diffusion system for granular materials

Dateien

preprint_177.pdfGröße: 842.07 KBDownloads: 251

Datum

2002

Autor:innen

Galiano, Gonzalo

Jüngel, Ansgar

Velasco, Julián

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

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.

Fachgebiet (DDC)

004 Informatik

Zitieren

ISO 690

GALIANO, Gonzalo, Ansgar JÜNGEL, Julián VELASCO, 2002. A parabolic cross-diffusion system for granular materials

BibTex

@unpublished{Galiano2002parab-6386,
  year={2002},
  title={A parabolic cross-diffusion system for granular materials},
  author={Galiano, Gonzalo and Jüngel, Ansgar and Velasco, Julián}
}

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