Autor(en): | El Behi-Gornostaeva, Elena Mitra, Koondanibha Schweizer, Ben |
Titel: | Traveling wave solutions for the Richards equation with hysteresis |
Sprache (ISO): | en |
Zusammenfassung: | We investigate the one-dimensional non-equilibrium Richards equation with play-type hysteresis. It is known that regularized versions of this equation permit traveling wave solutions that show oscillations and, in particular, the physically relevant effect of a saturation overshoot. We investigate here the non-regularized hysteresis operator and combine it with a positive τ-term. Our result is that the model has monotone traveling wave solutions. These traveling waves describe the behavior of fronts in a bounded domain. In a two-dimensional interpretation, the result characterizes the speed of fingers in non-homogeneous solutions. |
Schlagwörter: | porous media hysteresis traveling wave saturation overshoot |
URI: | http://hdl.handle.net/2003/37863 http://dx.doi.org/10.17877/DE290R-19850 |
Erscheinungsdatum: | 2018-09-24 |
Enthalten in den Sammlungen: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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Preprint 2018-05.pdf | DNB | 479.62 kB | Adobe PDF | Öffnen/Anzeigen |
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