Carabineanu, Adrian A free boundary problem in porous media. (English) Zbl 0760.76088 Rev. Roum. Math. Pures Appl. 37, No. 7, 563-570 (1992). 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. Cited in 1 Document MSC: 76S05 Flows in porous media; filtration; seepage 30C20 Conformal mappings of special domains 35R35 Free boundary problems for PDEs Keywords:complex potential; seepage of underground water; symmetrical channels; semi-inverse method; cycloid × Cite Format Result Cite Review PDF