A free boundary problem in porous media. (English) Zbl 0760.76088

Summary: The two-dimensional problem of the seepage of underground water from symmetrical channels is reduced to the study of a nonlinear system of functional equations. By means of a semi-inverse method, the seepage of water from a channel whose profile is an arc of cycloid is investigated.


76S05 Flows in porous media; filtration; seepage
30C20 Conformal mappings of special domains
35R35 Free boundary problems for PDEs