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Article
Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units
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 parame...
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Article
A family of numerical schemes for kinematic flows with discontinuous flux
Multiphase flows of suspensions and emulsions are frequently approximated by spatially one-dimensional kinematic models, in which the velocity of each species of the disperse phase is an explicitly given funct...