Browsing Matematisk institutt by Author "Bürger, Raimund"
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Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. (Research report / Forskningsrapport, 2004)The wear of steel balls in continuously operated grinding mills, used in mineral processing to comminute metalliferous rocks, can be described by a simple population balance model. This model gives rise to a scalar transport ...
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Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D. (Research report / Forskningsrapport, 2004)The chief purpose of this paper is to formulate and partly analyze a new mathematical model for continuous sedimentation-consolidation processes of flocculated suspensions in clarifier-thickener units. This model appears ...
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Bürger, Raimund; Karlsen, Kenneth H. (Research report / Forskningsrapport, 2003)The well-known Lighthill-Whitham-Richards kinematic traffic flow model for unidirectional flow on a single-lane highway is extended to include both abruptly changing road surface conditions and drivers' reaction time and ...
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Bürger, Raimund; García, A.; Karlsen, Kenneth H.; Towers, John D. (Research report / Forskningsrapport, 2005)A well-studied one-dimensional model for the operation of clarifier-thickener units in engineering applications can be expressed as a conservation law with a flux that is discontinuous with respect to the spatial variable. ...
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Bürger, Raimund; Karlsen, Kenneth H.; Risebro, Nils Henrik; Towers, John D. (Research report / Forskningsrapport, 2003)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 parameters. We ...