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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.
Vlasák, Miloslav, and Lamač, Jan. "Save our stones -- hysteresis phenomenon in porous media." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2021. 159-167. <http://eudml.org/doc/296905>.
@inProceedings{Vlasák2021, abstract = {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.}, author = {Vlasák, Miloslav, Lamač, Jan}, booktitle = {Programs and Algorithms of Numerical Mathematics}, keywords = {hysteresis; Preisach operator; porous media flow}, location = {Prague}, pages = {159-167}, publisher = {Institute of Mathematics CAS}, title = {Save our stones -- hysteresis phenomenon in porous media}, url = {http://eudml.org/doc/296905}, year = {2021}, }
TY - CLSWK AU - Vlasák, Miloslav AU - Lamač, Jan TI - Save our stones -- hysteresis phenomenon in porous media T2 - Programs and Algorithms of Numerical Mathematics PY - 2021 CY - Prague PB - Institute of Mathematics CAS SP - 159 EP - 167 AB - 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. KW - hysteresis; Preisach operator; porous media flow UR - http://eudml.org/doc/296905 ER -