Traveling wave solutions for the Richards equation with hysteresis
| dc.contributor.author | El Behi-Gornostaeva, Elena | |
| dc.contributor.author | Mitra, Koondanibha | |
| dc.contributor.author | Schweizer, Ben | |
| dc.date.accessioned | 2019-01-08T13:40:09Z | |
| dc.date.available | 2019-01-08T13:40:09Z | |
| dc.date.issued | 2018-09-24 | |
| dc.description.abstract | 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. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/37863 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-19850 | |
| dc.language.iso | en | |
| dc.subject | porous media | en |
| dc.subject | hysteresis | en |
| dc.subject | traveling wave | en |
| dc.subject | saturation overshoot | en |
| dc.subject.ddc | 610 | |
| dc.title | Traveling wave solutions for the Richards equation with hysteresis | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access | |
| eldorado.secondarypublication | false |