Singular and Fredholm Integral Equations for Dirichlet Boundary Problems for Axial-Symmetric Potential Fields

Sergiy Plaksa ()
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Sergiy Plaksa: Institute of Mathematics of National Academy of Sciences of Ukraine

A chapter in Factorization, Singular Operators and Related Problems, 2003, pp 219-235 from Springer

Abstract: Abstract We develop new methods for solving boundary problems for spatial axial-symmetric potential solenoid fields depending on the nature and specific features of axial-symmetric problems. The Dirichlet problems for the axial-symmetric potential and the Stokes flow function in a simply connected domain of the meridian plane are reduced to the Cauchy singular integral equations. If the boundary of a domain is a smooth curve satisfying certain additional requirements, then these singular integral equations are reduced to the Fredholm integral equations.

Keywords: axial-symmetric potential; Stokes flow function; Dirichlet boundary problem. (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0227-0_15

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DOI: 10.1007/978-94-017-0227-0_15

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