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.
This research was supported in part by INTAS-99-00089 project.
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Dedicated to G. S. Litvinchuk on the occasion of his 70th birthday
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Plaksa, S. (2003). Singular and Fredholm Integral Equations for Dirichlet Boundary Problems for Axial-Symmetric Potential Fields. In: Samko, S., Lebre, A., dos Santos, A.F. (eds) Factorization, Singular Operators and Related Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0227-0_15
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DOI: https://doi.org/10.1007/978-94-017-0227-0_15
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