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    Article

    Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units

    We consider a scalar conservation law modeling the settling of particles in an ideal clarifier-thickener unit. The conservation law has a nonconvex flux which is spatially dependent on two discontinuous parame...

    R. Bürger, K.H. Karlsen, N.H Risebro, J.D. Towers in Numerische Mathematik (2004)

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    Chapter and Conference Paper

    On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area

    We study a clarifier-thickener unit considering that its cross-sectional area is not constant in both the clarification and the thickening zones. A mathematical model of sedimentation in such a vessel can be f...

    R. Bürger, K. H. Karlsen, N. H. Risebro in Hyperbolic Problems: Theory, Numerics, App… (2003)