Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-12-01T01:25:24.864Z Has data issue: false hasContentIssue false
  • English
  • Français

On a method of Fabrikant, Sankar and Swamy for a generalized potential problem

Part of: Optics, electromagnetic theory - General

Published online by Cambridge University Press:  26 February 2010

E. R. Love  and
J. B. Miller
E. R. Love
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria 3052, Australia.
J. B. Miller
Affiliation:
Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia.
Get access

Extract

In [2], Fabrikant and his colleagues obtain a closed form solution to a generalized potential problem for a surface of revolution. This they specialize to solve three electrostatic problems for a spherical cap, including one for which the boundary conditions are not axisymmetric. In all three the solutions are expressed in terms of elementary functions.

MSC classification

Secondary: 78A30: Electro- and magnetostatics
Type
Research Article
Information
Mathematika , Volume 35 , Issue 1 , June 1988 , pp. 72 - 86
Copyright
Copyright © University College London 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Collins, W. D.. Note on the electrified spherical cap. Proc. Camb. Phil. Soc., 55 (1959), 377–379.CrossRefGoogle Scholar
2.Fabrikant, V. I., Sankar, T. S. and Swamy, M. N. S.. On the generalized potential problem for a surface of revolution. Proc. Amer. Math. Soc., 90 (1984), 47–56.CrossRefGoogle Scholar
3.Ferrers, N. M.. Quart. J. Math., 18 (1882), 97–109.Google Scholar
4.Hardy, G. H.. Divergent series (Oxford, 1949).Google Scholar
5.Hille, E.. Notes on linear transformations I. Trans. Amer. Math. Soc., 39 (1936), 131–153.Google Scholar
6.Hille, E. and Phillips, R. S.. Functional analysis and semi-groups (Amer. Math. Soc. Colloquium Publication XXXI, 1957).Google Scholar
7.Hoffman, K.. Banach spaces of analytic functions (Prentice-Hall, 1962).Google Scholar
8.Sankar, T. S. and Fabrikant, V. I.. Asymmetric contact problem including wear for nonhomogeneous half-space. J. Appl. Mech., 49 (1982), 43–46.CrossRefGoogle Scholar