Some equations of the Fuchs class in hydro- and aeromechanics

A way to calculate the seepage attached to the flow around the Zhukovskii rabbet with more than one-sheeted area of complex velocity

“…3), we close the area of motion z. As a result, we generate the expres sion for the main geometrical and filtration performances (7) for points coordinates of the free surface DF .…”

“…In this case, the area of complex velocity is not one sheeted in contrast to the case described in [1], where the area of the complex velocity is one sheeted. The Polubarinova Kochina method [2,3] and also the procedures of conformal mapping [4][5][6] for special areas, which are typical for the problems of under ground hydromechanics [7][8][9] are used to solve the mixed multi parametric boundary problem. The exact G v analytical representations for characteristic sizes of flow motion are obtained.…”

Application of Method of Polubarinova-Kochina for Research of Groundwater Motion From Ditchesfences Tongue Zhukovsky

“…Defining characteristic in dicators of functions Ω and Z near the regular singular points [12], we find that they are linear combinations of the two branches next Riemann function [12,27]: [20,21] and in this case has the form…”

“…For the solution of a mixed boundary value multi-parameter problem of theory of analytic functions used method Polubarinova-Kochina [12][13][14][15][16] and areas designed for specific species [20,21] of conformal mapping of circular polygons [22][23][24], which are typical for problems of underground hydromechanics. Accounting for the characteristics of movement allows us to represent the solution through a special, and in some cases, elementary functions, making them easy and convenient use.…”

On The Regime of Ground Water During Filtration from Channels in the Soil Layer with the Underlying Pressure Horizon

“…And the method of integrating such equations with four regular singularities [8][9][10]. Which is characteristic for problems of underground hydromechanics [11][12][13][14][15]. It should be noted that taking into account the specific features of the movements under consideration allows you to get solutions to problems in a closed form through elementary functions, which makes its use the most simple, convenient and effective.…”