Preprint 2000-023

A Strongly Degenerate Convection-Diffusion Problem Modeling Centrifugation of Flocculated Suspensions

Raimund Bürger and Kenneth Hvistendahl Karlsen


Abstract: We prove existence and uniqueness of $BV$ entropy solutions of a strongly\linebreak degenerate convection-diffusion problem modeling centrifugation of flocculated suspensions. A modification of the generalized upwind method is employed to solve the initial-boundary value problem numerically, i.e., to simulate the centrifugation process.


Paper:
Available as PostScript (1.2 Mbytes) or gzipped PostScript (307 Kbytes; uncompress using gunzip).
Author(s):
Raimund Bürger, <buerger@mathematik.uni-stuttgart.de>
Kenneth Hvistendahl Karlsen, <kennethk@mi.uib.no>
Publishing information:
Submitted to Proc. Hyp 2000
Comments:
Submitted by:
<kennethk@mi.uib.no> May 31 2000.


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