An inverse problem on the filtration from a channel in the presence of a water-surface ascent. (Russian) Zbl 0589.76121

Il’inskij, N. B.; Kasimov, A. R.

Tr. Semin. Kraevym Zadacham 20, 104-115 (1983).

Already earlier the authors together with Eh. Eh. Khajrullin have studied inverse problems on the filtration from a channel without a water-surface ascent [ibid. 13 (1976)].
Here the case of the presence of a water-surface ascent is investigated. By means of variational theorems an analytic solution of the inverse boundary value problem of the filtration from a channel is constructed. At this for given diagrams of the filtrational outflow the profile of the channel and the depression curves are determined.

Reviewer: K.Barckow

MSC:

76S05	Flows in porous media; filtration; seepage
76M99	Basic methods in fluid mechanics

Keywords:

filtration from a channel; water-surface ascent; variational theorems; analytic solution; inverse boundary value problem; filtrational outflow; depression curves