Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/25330
Title: Travelling wave solutions for the Richards equation incorporating non-equilibrium effects in the capillarity pressure
Authors: C.J van Duijn
Mitra, Koondanibha 
Pop, Sorin 
Issue Date: 2018
Source: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 41, p. 232-268
Abstract: The Richards equation is a mathematical model for unsaturated flow through porous media. This paper considers an extension of the Richards equation, where non-equilibrium effects like hysteresis and dynamic capillarity are incorporated in the relationship that relates the water pressure and the saturation. The focus is on travelling wave solutions, for which the existence is investigated first for the model including hysteresis and subsequently for the model including dynamic capillarity effects. In particular, such solutions may have non monotonic profiles, which are ruled out when considering standard, equilibrium type models, but have been observed experimentally. The paper ends with numerical experiments confirming the theoretical results.
Notes: Mitra, K (reprint author), Eindhoven Univ Technol, Dept Math & Comp Sci, Eindhoven, Netherlands. k.mitra@tue.nl
Keywords: Richards equation; Degenerate parabolic equation; Travelling waves; Hysteresis; Dynamic capillarity
Document URI: http://hdl.handle.net/1942/25330
Link to publication: https://www.sciencedirect.com/science/article/pii/S1468121817301621
http://www.uhasselt.be/Documents/CMAT/Preprints/2017/UP1706.pdf
ISSN: 1468-1218
e-ISSN: 1878-5719
DOI: 10.1016/j.nonrwa.2017.10.015
ISI #: 000424721700011
Rights: © 2017 Elsevier Ltd. All rights reserved.
Category: A1
Type: Journal Contribution
Validations: ecoom 2019
Appears in Collections:Research publications

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