The completed second kind integral equation formulation for Stokes flow with mixed boundary conditions

2001 ◽  
Vol 17 (4) ◽  
pp. 215-227 ◽  
Author(s):  
H. Power ◽  
J. E. Gómez
Keyword(s):  
Integral Equation ◽  
Boundary Conditions ◽  
Stokes Flow ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Equation Formulation ◽  
Integral Equation Formulation

scholarly journals An integral equation formulation for rigid bodies in Stokes flow in three dimensions

2017 ◽  
Vol 332 ◽  
pp. 504-519 ◽  
Author(s):  
Eduardo Corona ◽  
Leslie Greengard ◽  
Manas Rachh ◽  
Shravan Veerapaneni
Keyword(s):  
Integral Equation ◽  
Stokes Flow ◽  
Rigid Bodies ◽  
Three Dimensions ◽  
Equation Formulation ◽  
Integral Equation Formulation

scholarly journals On the solutions of mixed plane problems that are unbounded where the boundary conditions change

2001 ◽  
Vol 32 (3) ◽  
pp. 173-180
Author(s):  
M. G. El-Sheikh ◽  
V. N. Gavdzinski ◽  
A. E. Radwan
Keyword(s):  
Integral Equation ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Infinite System ◽  
Original Method ◽  
Plane Boundary ◽  
Algebraic Equations ◽  
Typical Problem ◽  
Equation Formulation ◽  
Integral Equation Formulation

In this paper, we apply a modification to the method of the integral equation formulation of mixed plane boundary value problems so that it enables us to obtain the solutions unbounded at the points where the boundary conditions change. Such solutions are of great physical interest. The modification is illustrated by means of a typical problem. As is it the case in the original method proposed by Cherskii [1], the problem is reduced to an infinite system of algebraic equations. The justification of the truncation of such systems has been established.

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