# Hyperbolicity Analysis of Polydisperse Sedimentation Models via a Secular Equation for the Flux Jacobian

@article{Brger2010HyperbolicityAO, title={Hyperbolicity Analysis of Polydisperse Sedimentation Models via a Secular Equation for the Flux Jacobian}, author={Raimund B{\"u}rger and Rosa Donat and Pep Mulet and Carlos A. Vega}, journal={SIAM Journal of Applied Mathematics}, year={2010}, volume={70}, pages={2186-2213} }

Polydisperse suspensions consist of small particles which are dispersed in a viscous fluid and which belong to a finite number N of species that differ in size or density. Spatially one-dimensional kinematic models for the sedimentation of such mixtures are given by systems of N nonlinear first-order conservation laws for the vector $\Phi$ of the N local solids volume fractions of each species. The problem of hyperbolicity of this system is considered here for the models due to Masliyah… CONTINUE READING

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