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dc.contributor.authorEl Behi-Gornostaeva, Elena-
dc.contributor.authorMitra, Koondanibha-
dc.contributor.authorSchweizer, Ben-
dc.date.accessioned2019-01-08T13:40:09Z-
dc.date.available2019-01-08T13:40:09Z-
dc.date.issued2018-09-24-
dc.identifier.urihttp://hdl.handle.net/2003/37863-
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-19850-
dc.description.abstractWe 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.isoen-
dc.subjectporous mediaen
dc.subjecthysteresisen
dc.subjecttraveling waveen
dc.subjectsaturation overshooten
dc.subject.ddc610-
dc.titleTraveling wave solutions for the Richards equation with hysteresisen
dc.typeTextde
dc.type.publicationtypepreprinten
dcterms.accessRightsopen access-
eldorado.secondarypublicationfalse-
Appears in Collections:Schweizer, Ben Prof. Dr.
Preprints der Fakultät für Mathematik

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