Abstract
The following filtration flows with unknown free boundaries are investigated: 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; 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; When groundwater moves in a rectangular bridge with a partially impenetrable vertical wall in the presence of evaporation from the free surface; When groundwater moves to an imperfect gallery in the presence of evaporation from the free surface.
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