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On an integral equation

Published online by Cambridge University Press:  26 February 2010

K. Stewartson
K. Stewartson
Affiliation:
University College, London
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Extract

The integral equation

occurs in the theory of the motion of an electrically conducting fluid, occupying the space between two electrodes at different potentials, in the presence of a strong magnetic fluid [Hunt and Malcolm 1]. In this theory a solution is required in which

and one of the principal properties of the solution to be determined is

Type
Research Article
Information
Mathematika , Volume 15 , Issue 1 , June 1968 , pp. 22 - 29
Copyright
Copyright © University College London 1968

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References

1.Hunt, J. C. R. and Malcolm, D. G., submitted for publication in j. Fluid Mechanics.Google Scholar
2.Hammersley, J. M., Fourth Berkeley Symposium on Mathematical Statistics and Probability, Vol. III, 17 (University of California Press, 1961).Google Scholar
3.Kendall, D. G., 1961, Fourth Berkeley Symposium on Mathematical Statistics and Probability Vol. III, 121.Google Scholar
4.Paley, R. E. A. C. and Wiener, N., Fourier Transforms in the Complex Domain, Chap. IV (American Math. Soc. Colloq. Pub. 19, 1934).Google Scholar
5.Abramowitz, M. and Stegun, I. A., 1964 Handbook of Mathematical Functions (Nat. Bur. Standards), 319.Google Scholar