- journal article metadata
European Mathematical Society Publishing House
2017-10-13 23:40:01
Interfaces and Free Boundaries
Interfaces Free Bound.
IFB
1463-9963
1463-9971
Partial differential equations
Numerical analysis
Fluid mechanics
Biology and other natural sciences
10.4171/IFB
http://www.ems-ph.org/doi/10.4171/IFB
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
19
2017
3
Hysteresis in porous media: Modelling and analysis
Ben
Schweizer
Technische Universität Dortmund, Germany
Porous media, hysteresis, unsaturated flow, gravity fingering
Unsaturated flow through porous media can be modelled by a partial differential equation using saturation $s$ and pressure $p$ as unknowns. Experimental data as well as elementary physical arguments show that the coupling of the two variables must take into account hysteresis. In this survey, we describe the physical origins of porous media hysteresis, present the ideas of its mathematical description, and review the analysis of the resulting hysteresis models.
Fluid mechanics
Partial differential equations
Operator theory
417
447
10.4171/IFB/388
http://www.ems-ph.org/doi/10.4171/IFB/388