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- Elmer M. Tory, Kenneth H. Karlsen, Raimund Bürger, Stefan Berres
- SIAM Journal of Applied Mathematics
- 2003

We show how existing models for the sedimentation of monodisperse flocculated suspensions and of polydisperse suspensions of rigid spheres differing in size can be combined to yield a new theory of… (More)

- Raimund Bürger, Kenneth H. Karlsen, John D. Towers
- SIAM J. Numerical Analysis
- 2009

We consider scalar conservation laws with the spatially varying flux H(x)f(u)+(1−H(x))g(u), where H(x) is the Heaviside function and f and g are smooth nonlinear functions. Adimurthi, Mishra, and… (More)

- Raimund Bürger, Kenneth H. Karlsen, Nils Henrik Risebro, John D. Towers
- Numerische Mathematik
- 2004

R. Bürger1, K.H. Karlsen2, N.H. Risebro3, J.D. Towers4 1 Institute ofAppliedAnalysis and Numerical Simulation, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany; e-mail:… (More)

- Raimund Bürger, Kenneth H. Karlsen, John D. Towers
- SIAM Journal of Applied Mathematics
- 2005

Abstract. 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… (More)

Clarifier-thickener units treating ideal suspensions can be modeled as an initial-value problem for a nonconvex scalar conservation law whose flux depends on a vector of discontinuous parameters.… (More)

The extension of Kynch’s kinematic theory of sedimentation of monodisperse suspensions to polydisperse mixtures leads to a nonlinear system of conservation laws for the volume fractions of each… (More)

- Raimund Bürger
- 2000

The phenomenological theory of sedimentation describes a flocculated suspension as a mixture of the solid and the fluid as two superimposed continuous media. Starting from the mass and linear… (More)

Article history: Received 29 July 2008 Received in revised form 27 November 2008 Accepted 2 December 2008 Available online 7 December 2008 MSC: 35K65 35L65 35R05 65M06 76T20 92C17

- Raimund Bürger, Ricardo Ruiz-Baier, Héctor Torres
- SIAM J. Scientific Computing
- 2012

A model of sedimentation-consolidation processes in so-called clarifier-thickener units is given by a parabolic equation describing the evolution of the local solids concentration coupled with a… (More)

The classical Lighthill-Whitham-Richards (LWR) kinematic traffic model is extended to a unidirectional road on which the maximum density a(x) represents road inhomogeneities, such as variable numbers… (More)