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
traveling wave
saturation overshoot
Issue Date: 2018-09-24
Appears in Collections:Preprints der Fakultät für Mathematik
Schweizer, Ben Prof. Dr.

Files in This Item:
File Description SizeFormat 
Preprint 2018-05.pdfDNB479.62 kBAdobe PDFView/Open

This item is protected by original copyright

Items in Eldorado are protected by copyright, with all rights reserved, unless otherwise indicated.