Abstract
Solutions are given to some singular integral equations which arise in two‐dimensional Dirichlet and Newmann boundary value problems of two equal infinite coaxial circular strips in various branches of potential theory. For illustration, these solutions are applied to solve some boundary value problems in electrostatics, hydrodynamics, and expressions for the physical quantities of interest are derived.
Highlights
Many authors [I-5] have presented solutions of various two dimensional boundary value problems of two infinite strips, by integral equation techniques [6-si(0 01)I}, 8]
Shall [9] has given the solution of the Fredholm singular integral equation of logmla the first kind with logarithmic kernal{q +
Where a and q are known constants. This type of singular integral equation governs the solutions of various two-dimensional Dirichlet boundary value problems involving an infinite circular strip in electrostatics, hydrodynamics, and low-frequency acoustic scattering
Summary
Many authors [I-5] have presented solutions of various two dimensional boundary value problems of two infinite strips, by integral equation techniques [6-si(0 01)I},- , 8]. Many authors [I-5] have presented solutions of various two dimensional boundary value problems of two infinite strips, by integral equation techniques [6- The singular integral equations of the type (I.I) govern solutions of various two-dimensional Dirichlet boundary value problems of two equal infinite co-axial circular strips in potential theory.
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