The infiltration problem with large constant surface flux in partially saturated porous media
The infiltration problem in two degenerate cases is considered. After proving the existence of weak solutions, we study when the water content c(u(\(\cdot,t))\) has compact support and how the solution behaves as \(t\to \infty\). Moreover, we get existence and regularity of two kinds of free boundaries under some conditions on the initial date.
scientific article; zbMATH DE number 4031315