Infiltration in porous media with dynamic capillary pressure : travelling waves
We consider a model for non-static groundwater flow where the saturation-pressure relation is extended by a dynamic term. This approach together with a convective term due to gravity, results in a pseudo-parabolic Burgers type equation. We give a rigorous study of global travelling wave solutions, with emphasis on the role played by the dynamic term and the appearance of fronts.
|Ultraparabolic equations, pseudoparabolic equations, etc. (msc 35K70), Flows in porous media; filtration; seepage (msc 76S05), Two-phase and multiphase flows (msc 76Txx)|
|Modelling, Analysis and Simulation [MAS]|
Cuesta Romero, C.M, van Duijn, C.J, & Hulshof, J. (1999). Infiltration in porous media with dynamic capillary pressure : travelling waves. Modelling, Analysis and Simulation [MAS]. CWI.