an:05141150
Zbl 1115.35351
B??rger, R.; Garc??a, A.; Karlsen, K. H.; Towers, J. D.
A note on an extended clarifier-thickener model with singular source and sink terms
EN
Sci., Ser. A, Math. Sci. (N.S.) 13, 36-44 (2006).
00187870
2006
j
35L65 76T20 35R05
non-conservative transport term; well-posedness
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.