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A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units. (English) Zbl 1013.35052
Under some idealizing assumptions the authors reduce a model of continuous sedimentation to a conservation law where the flux function depends continuously on the spatial variable. A weak solution to this equation is constructed by means of the front tracking method.

MSC:
35L65 Hyperbolic conservation laws
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
86A05 Hydrology, hydrography, oceanography
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