Cuesta, C.; van Duijn, C. J.; Hulshof, J. Infiltration in porous media with dynamic capillary pressure: Travelling waves. (English) Zbl 0970.76096 Eur. J. Appl. Math. 11, No. 4, 381-397 (2000). Summary: 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. Cited in 24 Documents MSC: 76S05 Flows in porous media; filtration; seepage 35Q53 KdV equations (Korteweg-de Vries equations) 86A05 Hydrology, hydrography, oceanography Keywords:non-static groundwater flow; saturation-pressure relation; dynamic term; convective term; pseudo-parabolic Burgers-type equation; global travelling-wave solutions; appearance of fronts PDF BibTeX XML Cite \textit{C. Cuesta} et al., Eur. J. Appl. Math. 11, No. 4, 381--397 (2000; Zbl 0970.76096) Full Text: DOI