Convection-diffusion-reaction and transport-flow problems motivated by models of sedimentation: some recent advances

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The sedimentation of a suspension is a unit operation widely used in mineral processing, chemical engineering,wastewater treatment, and other industrial applications. Mathematical models that describe these processes and may be employed for simulation, design and control are usually given as nonlinear, time-dependent partial differential equations that in one space dimension include strongly degenerate convection-diffusion-reaction equations with discontinuous coefficients, and in two or more dimensions, coupled flowtransport problems. These models incorporate non-standard
properties that have motivated original research in applied mathematics and numerical analysis. This contribution summarizes recent advances, and presents original numerical results, for three different topics of research: a novel method of fluxidentification for a scalar conservation law from observation of curved shock trajectories that can be observed in sedimentation in a cone; a new description of continuous sedimentation with reactions including transport and reactions of biological components; and the numerical solution of a multi-dimensional sedimentation-consolidation system by an augmented mixed-primal method, including an a posteriori error estimation.


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Externa organisationer
  • University of Concepción
  • University of Oxford

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematisk analys
Titel på värdpublikationProceedings of the International Congress of Mathematicians 2018
RedaktörerB. Sirakov, P. N. de Souza, M. Viana
FörlagWorld Scientific
VolymVol. IV: Invited Lectures
ISBN (tryckt)978-981-3272-87-3
StatusPublished - 2018
Peer review utfördJa
EvenemangInternational Congress of Mathematicians - Rio de Janeiro, Brasilien
Varaktighet: 2018 aug 12020 aug 9


KonferensInternational Congress of Mathematicians
Förkortad titelICM 2018
OrtRio de Janeiro