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• W3110045710 abstract "We study an imbibition problem for porous media. When a wetted layer is above a dry medium, gravity leads to the propagation of the water downwards into the medium. In experiments, the occurrence of fingers was observed, a phenomenon that can be described with models that include hysteresis. In the present paper, we describe a single finger in a moving frame and set up a free boundary problem to describe the shape and the motion of one finger that propagates with a constant speed. We show the existence of solutions to the travelling wave problem and investigate the system numerically." @default.
• W3110045710 created "2020-12-07" @default.
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• W3110045710 date "2020-11-21" @default.
• W3110045710 modified "2023-09-27" @default.
• W3110045710 title "Travelling wave solutions for gravity fingering in porous media flows" @default.
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• W3110045710 doi "https://doi.org/10.13140/rg.2.2.23096.78083" @default.
• W3110045710 hasPublicationYear "2020" @default.
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