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Shock-wave behaviour of sedimentation in wastewater treatment: a rich problem

Diehl, Stefan LU (2012) Tribute Workshop in Honour of Gunnar Sparr held in Lund, May 8-9, 2008 In Springer Proceedings in Mathematics 6. p.175-214
Abstract
A common industrial process for separating particles from a liquid is continuous sedimentation, which is used in the chemical, mining, pulp-and-paper and food industries. It can also be found in most wastewater treatment plants, where it is a crucial subprocess of a complex biological system. The process has provided, and will continue to provide, scientific problems that lead to fundamental research in different disciplines such as mathematics, wastewater, chemical, mineral, control and automation engineering. A selective survey of previous results within the field of pure and applied mathematics is presented with focus on a nonlinear convection-diffusion partial differential equation with discontinuous coefficients. In a model of a... (More)
A common industrial process for separating particles from a liquid is continuous sedimentation, which is used in the chemical, mining, pulp-and-paper and food industries. It can also be found in most wastewater treatment plants, where it is a crucial subprocess of a complex biological system. The process has provided, and will continue to provide, scientific problems that lead to fundamental research in different disciplines such as mathematics, wastewater, chemical, mineral, control and automation engineering. A selective survey of previous results within the field of pure and applied mathematics is presented with focus on a nonlinear convection-diffusion partial differential equation with discontinuous coefficients. In a model of a wastewater treatment plant, such an equation is coupled to a set of ordinary differential equations. Some new results on the steady-state solutions of such a coupled system are also presented. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Springer Proceedings in Mathematics
editor
Åström, Kalle; Persson, Lars-Erik; Silvestrov, Sergei; ; and
volume
6
pages
40 pages
publisher
Springer
conference name
Tribute Workshop in Honour of Gunnar Sparr held in Lund, May 8-9, 2008
external identifiers
  • scopus:84893581052
ISSN
2190-5622
2190-5614
ISBN
978-3-642-20235-3 (print)
978-3-642-20236-0 (online)
DOI
10.1007/978-3-642-20236-0_7
language
English
LU publication?
yes
id
518560e6-03e6-4c4a-a9d7-ffb8908422ff (old id 2224357)
date added to LUP
2012-01-27 14:04:48
date last changed
2017-06-11 03:24:34
@inproceedings{518560e6-03e6-4c4a-a9d7-ffb8908422ff,
  abstract     = {A common industrial process for separating particles from a liquid is continuous sedimentation, which is used in the chemical, mining, pulp-and-paper and food industries. It can also be found in most wastewater treatment plants, where it is a crucial subprocess of a complex biological system. The process has provided, and will continue to provide, scientific problems that lead to fundamental research in different disciplines such as mathematics, wastewater, chemical, mineral, control and automation engineering. A selective survey of previous results within the field of pure and applied mathematics is presented with focus on a nonlinear convection-diffusion partial differential equation with discontinuous coefficients. In a model of a wastewater treatment plant, such an equation is coupled to a set of ordinary differential equations. Some new results on the steady-state solutions of such a coupled system are also presented.},
  author       = {Diehl, Stefan},
  booktitle    = {Springer Proceedings in Mathematics},
  editor       = {Åström, Kalle and Persson, Lars-Erik and Silvestrov, Sergei},
  isbn         = {978-3-642-20235-3 (print)},
  issn         = {2190-5622},
  language     = {eng},
  pages        = {175--214},
  publisher    = {Springer},
  title        = {Shock-wave behaviour of sedimentation in wastewater treatment: a rich problem},
  url          = {http://dx.doi.org/10.1007/978-3-642-20236-0_7},
  volume       = {6},
  year         = {2012},
}