Samenvatting
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.
Originele taal-2 | Engels |
---|---|
Pagina's (van-tot) | 120-151 |
Aantal pagina's | 32 |
Tijdschrift | Journal of Differential Equations |
Volume | 394 |
DOI's | |
Status | Gepubliceerd - 15 jun. 2024 |