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Paper detail

Mathematical multi-scale model of water purification

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.

preprint2022arXivOpen access
A. PiatnitskiA. ShamaevE. Zhizhina
math-phmath.PRmath.MP
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Open access3 authors3 topics
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Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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A. PiatnitskiA. ShamaevE. Zhizhina

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