Mathematical multi-scale model of water purification

2022/04/26 by A. Piatnitski, Piatnitski, A., A. Shamaev +3
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #math-ph #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.2204.12220

arXiv admin note: text overlap with arXiv:1701.01349

arxiv created 2022/04/26 · arxiv updated 2022/04/27

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.

Citations

• Scaling Limit of Symmetric Random Walk in High-Contrast Periodic Environment

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