Differential boundary value problem of the theory of analytic functions on a cut plane

2001 ◽  
Vol 46 (3) ◽  
pp. 265-276 ◽  
Author(s):  
N. Manjavidze
Keyword(s):  
Boundary Value Problem ◽  
Analytic Functions ◽  
Boundary Value

scholarly journals On Filtration in a Rectangular Interchange with a particularly Unpermatable Vertical wall in the Evaporation

2021 ◽  
Vol 1 (1) ◽  
pp. 11-19
Author(s):  
E.N. Bireslavskii ◽  
L.M. Dudina
Keyword(s):  
Free Surface ◽  
Steady State ◽  
Boundary Value Problem ◽  
Analytic Functions ◽  
Boundary Value ◽  
Vertical Wall ◽  
Hydrodynamic Analysis ◽  
Proposed Model ◽  
Efficiency And Productivity

We consider a plane steady-state filtration in a rectangular bridge with a partially impermeable vertical wall in the presence of evaporation from a free surface of groundwater. To study the effect of evaporation, a mixed multiparametric boundary-value problem of the theory of analytic functions is formulated and using the method of P. Y. Polubarinova-Kochina. Based on the proposed model, an algorithm is developed to calculate the dependence of efficiency and productivity of hydrodynamic analysis.

THE MAIN HASEMAN TYPE BOUNDARY VALUE PROBLEM FOR METAANALYTIC FUNCTION IN THE CASE OF CIRCULAR DOMAINS

2001 ◽  
Vol 6 (1) ◽  
pp. 68-76 ◽  
Author(s):  
B. F. Fatulaev
Keyword(s):  
Boundary Value Problem ◽  
Analytic Functions ◽  
Boundary Value ◽  
Initial Problem ◽  
Circular Domains ◽  
Type Boundary ◽  
Schwartz Equation

In the presented work a main Haseman type boundary value problem is investigated in the class of metaanalytic functions in the case of circular domains. With the help of Schwartz equation for circumference the initial problem can be reduced to the totality of two ordinary Haseman problems for analytic functions. Besides, the picture of solvability of the problem depending on values of indexes of coefficients of boundary value conditions is is investigated in this work.

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