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DOI：http://dx.doi.org/10.26855/jamc.2021.03.004

The following filtration flows with unknown free boundaries are investigated: (1) In case of a flow past the Zhukovsky groove in the case when the soil layer is underlain along its entire length with an impermeable base and evaporation from the free surface occurs; (2) In case of a flow past the Zhukovsky groove in the case when the underlying layer is a completely well-permeable aquifer and infiltration occurs on the free surface; (3) When groundwater moves in a rectangular bridge with a partially impenetrable vertical wall in the presence of evaporation from the free surface; (4) When groundwater moves to an imperfect gallery in the presence of evaporation from the free surface. For studying of the specified currents in the presence of evaporation or infiltration on a free surface, the mixed multiple parameter boundary value problems of the theory of analytic functions which solution is carried out with use of the method of P. Ya. Polubarinova-Kochina, based on application of the analytical theory of linear differential equations of a class of Fuchs is formulated.

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About Some Problems of Filtration Theory

**How to cite this paper:** Bereslavskii Eduard Naumovich, Dudina Liliya Mihailovna. (2021) About Some Problems of Filtration Theory. *Journal of Applied Mathematics and Computation*, **5**(**1**), 28-31.

DOI: http://dx.doi.org/10.26855/jamc.2021.03.004

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