Full metadata record
DC Field | Value | Language |
---|---|---|
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.identifier.uri | http://hdl.handle.net/2003/37863 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-19850 | - |
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.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 | - |
Appears in Collections: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Preprint 2018-05.pdf | DNB | 479.62 kB | Adobe PDF | View/Open |
This item is protected by original copyright |
This item is protected by original copyright
rightsstatements.org