Authors: El Behi-Gornostaeva, Elena
Mitra, Koondanibha
Schweizer, Ben
Title: Traveling wave solutions for the Richards equation with hysteresis
Language (ISO): en
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.
Subject Headings: porous media
hysteresis
traveling wave
saturation overshoot
Subject Headings (RSWK): Poröser Stoff
Hysterese
Wanderwelle
URI: http://hdl.handle.net/2003/37221
http://dx.doi.org/10.17877/DE290R-19216
Issue Date: 2018-09-24
Appears in Collections:Schweizer, Ben Prof. Dr.
Preprints der Fakultät für Mathematik

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