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22.—On the Non-existence of Solutions to the Generalised Swirling Flow Problem*

Published online by Cambridge University Press:  14 February 2012

P. J. Bushell
P. J. Bushell
Affiliation:
Mathematics Division, University of Sussex.
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Extract

1. The generalisation of von Kármán's equations of swirling flow studied by Serrin [7] and Hartman [3, 4] is the system

with the boundary conditions

When α = β = ½ this system reduces to von Kármán's equations studied by several authors recently (see [1, 6] for many references).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 72 , Issue 3 , 1975 , pp. 271 - 273
Copyright
Copyright © Royal Society of Edinburgh 1975

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References

References to Literature

[1]Bushell, P. J., 1972. On von Kármán's equations of swirling flow. J. Lond. Math. Soc., 4,701–710.CrossRefGoogle Scholar
[2]Bushell, P. J.,, 1973. The generalised vortex problem. J Lond. Math. Soc., 7, 211–219.CrossRefGoogle Scholar
[3]Hartman, P., 1971. The swirling flow problem in boundary layer theory. Archs Rat. Mech. Analysis, 42, 137–156.CrossRefGoogle Scholar
[4]Hartman, P.,, 1972. On the swirling flow problem. Indiana Math. J., 21, 849–855.CrossRefGoogle Scholar
[5]McLeod, J. B., 1971. The existence of axially symmetric flow above a rotating disk. Proc. Roy. Soc. A, 324, 391–414.Google Scholar
[6]McLeod, J. B.,, 1970. A note on rotationally symmetric flow above an infinite rotating disk. Mathematika, 17, 243–249.CrossRefGoogle Scholar
[7]Serrin, J. B., 1962. Mathematical aspects of boundary layer theory. Lecture Notes. Univ. Minnesota.Google Scholar