A parabolic cross-diffusion system for granular materials
| dc.contributor.author | Galiano, Gonzalo | deu |
| dc.contributor.author | Jüngel, Ansgar | deu |
| dc.contributor.author | Velasco, Julián | deu |
| dc.date.accessioned | 2011-03-24T16:12:22Z | deu |
| dc.date.available | 2011-03-24T16:12:22Z | deu |
| dc.date.issued | 2002 | deu |
| dc.description.abstract | 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. | eng |
| dc.description.version | published | |
| dc.format.mimetype | application/pdf | deu |
| dc.identifier.ppn | 262058278 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/6386 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2007 | deu |
| dc.relation.ispartofseries | Konstanzer Schriften in Mathematik und Informatik | |
| dc.rights | Attribution-NonCommercial-NoDerivs 2.0 Generic | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.0/ | |
| dc.subject.ddc | 004 | deu |
| dc.title | A parabolic cross-diffusion system for granular materials | eng |
| dc.type | PREPRINT | deu |
| dspace.entity.type | Publication | |
| kops.bibliographicInfo.seriesNumber | 177 | deu |
| kops.citation.bibtex | @unpublished{Galiano2002parab-6386,
year={2002},
title={A parabolic cross-diffusion system for granular materials},
author={Galiano, Gonzalo and Jüngel, Ansgar and Velasco, Julián}
} | |
| kops.citation.iso690 | GALIANO, Gonzalo, Ansgar JÜNGEL, Julián VELASCO, 2002. A parabolic cross-diffusion system for granular materials | deu |
| kops.citation.iso690 | GALIANO, Gonzalo, Ansgar JÜNGEL, Julián VELASCO, 2002. A parabolic cross-diffusion system for granular materials | eng |
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| kops.description.openAccess | openaccessgreen | |
| kops.identifier.nbn | urn:nbn:de:bsz:352-opus-22058 | deu |
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