Abstract
Unsteady saturated/unsaturated waterflow in porous media can be described by a degenerate nonlinear Fokker-Planck differential equation. An initial/boundary value problem is formulated as an initial value problem for an evolution equation in Hilbert space. Using the theory of maximal monotone operators, existence and uniqueness of solutions can be proved. The same holds for the discretized problem that is obtained from the continuous problem by the longitudinal line method.
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