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

Raimund Bürger, Julio Careaga, Stefan Diehl, Camilo Mejías, Ricardo Ruiz Baier

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearch

1 Citation (Scopus)


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 flow-transport 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 flux identification 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.

Original languageEnglish
Title of host publicationProceedings of the International Congress of Mathematicians, ICM 2018
Subtitle of host publication2018 International Congress of Mathematicians, ICM 2018; Rio de Janeiro; Brazil; 1 August 2018 through 9 August 2018
EditorsBoyan Sirakov, Paulo Ney de Souza, Marcelo Viana
Place of PublicationSingapore
PublisherWorld Scientific Publishing
Number of pages30
ISBN (Electronic)9789813272934, 9789813272880
ISBN (Print)9789813272873
Publication statusPublished - 1 Jan 2018
Externally publishedYes
EventInternational Congress of Mathematicians 2018 - Barra da Tijuca, Rio de Janeiro, Brazil
Duration: 1 Aug 20189 Aug 2018

Publication series

NameProceedings of the International Congress of Mathematicians
PublisherWorld Scientific


ConferenceInternational Congress of Mathematicians 2018
Abbreviated titleICM 2018
CityRio de Janeiro
Internet address

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