Bürger, R.; García, A.; Karlsen, K. H.; Towers, J. D. A note on an extended clarifier-thickener model with singular source and sink terms. (English) Zbl 1115.35351 Sci., Ser. A, Math. Sci. (N.S.) 13, 36-44 (2006). Summary: A one-dimensional clarifier-thickener (CT) model, which includes a singular feed source, can be expressed as a conservation law with a flux that is discontinuous with respect to the spatial variable. The CT model is extended herein by a singular sink through which material is extracted. The sink gives rise to a new non-conservative transport term. The paper summarizes a recent well-posedness analysis and presents a numerical method for the extended model. A numerical example is presented. MSC: 35L65 Hyperbolic conservation laws 76T20 Suspensions 35R05 PDEs with low regular coefficients and/or low regular data Keywords:non-conservative transport term; well-posedness PDF BibTeX XML Cite \textit{R. Bürger} et al., Sci., Ser. A, Math. Sci. (N.S.) 13, 36--44 (2006; Zbl 1115.35351)