dc.contributor.author | Piatnitski, Andrei | |
dc.contributor.author | Shamaev, Alexey | |
dc.contributor.author | Zhizhina, Elena | |
dc.date.accessioned | 2023-11-21T10:30:12Z | |
dc.date.available | 2023-11-21T10:30:12Z | |
dc.date.issued | 2023-07-13 | |
dc.description.abstract | In this work, we consider a mathematical model of the water treatment process and determine the effective characteristics of this model. At the microscopic
length scale, we describe our model in terms of a lattice random walk in a
high-contrast periodic medium with absorption. Applying then the upscaling
procedure, we obtain the macroscopic model for total mass evolution. We discuss both the dynamic and the stationary regimes and show how the efficiency
of the purification process depends on the characteristics of the macroscopic
model. | en_US |
dc.identifier.citation | Piatnitski, Shamaev, Zhizhina. Mathematical multi-scale model of water purification. Mathematical Methods in the Applied Sciences. 2023 | en_US |
dc.identifier.cristinID | FRIDAID 2177244 | |
dc.identifier.doi | 10.1002/mma.9552 | |
dc.identifier.issn | 0170-4214 | |
dc.identifier.issn | 1099-1476 | |
dc.identifier.uri | https://hdl.handle.net/10037/31834 | |
dc.language.iso | eng | en_US |
dc.publisher | Wiley | en_US |
dc.relation.journal | Mathematical Methods in the Applied Sciences | |
dc.rights.accessRights | openAccess | en_US |
dc.rights.holder | Copyright 2023 The Author(s) | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0 | en_US |
dc.rights | Attribution 4.0 International (CC BY 4.0) | en_US |
dc.title | Mathematical multi-scale model of water purification | en_US |
dc.type.version | publishedVersion | en_US |
dc.type | Journal article | en_US |
dc.type | Tidsskriftartikkel | en_US |
dc.type | Peer reviewed | en_US |