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Article

Vlasák, Miloslav ; Lamač, Jan
Save our stones -- hysteresis phenomenon in porous media. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 21-26, 2020. Institute of Mathematics CAS, Prague, 2021. pp. 159-167
MSC: 65M60, 74N30, 76S05 | DOI: 10.21136/panm.2020.16
Keywords:
hysteresis; Preisach operator; porous media flow
Summary:
We present a mathematical description of wetting and drying stone pores, where the resulting mathematical model contains hysteresis operators. We describe these hysteresis operators and present a numerical solution for a simplified problem.
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