Filtration in a rectangular jumper with a screen in the presence of evaporation from a free surface

As is well-known [1-6], the exact solution of a task on a fluid influx to the imperfect well to the flooded filter (i.e. an axisymmetric task) or in the tubular well representing an impenetrable pipe with the filter in some of its part is bound to great mathematical difficulties and so far isn't found. Therefore as first approximation to the solution of similar tasks some corresponding flat task analogs about filtration to imperfect rectilinear gallery in free-flow layer [1, 4, 6, 8] and in a rectangular crossing point with partially impenetrable vertical wall were considered [7]. It should be noted that areas of a hodograph of motion of the specified tasks allow to apply a formula of Christoffel Schwarz by means of inversion and thus to receive their decisions.