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Note on a paper of John W. Miles

Published online by Cambridge University Press:  28 March 2006

Louis N. Howard
Louis N. Howard
Affiliation:
Mathematics Department, Massachusetts Institute of Technology
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Abstract

The theorem X established by Miles in the preceding paper is here given a simpler and more general proof. Some further theoretical results concerning the stability of heterogeneous shear flows are also presented, in particular a demonstration that the complex wave velocity of any unstable mode must lie in a certain semicircle.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 10 , Issue 4 , June 1961 , pp. 509 - 512
Copyright
© 1961 Cambridge University Press

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References

Miles, J. W. 1961 On the stability of heterogeneous shear flows. J. Fluid Mech. 10, 496.Google Scholar
Synge, J. L. 1933 The stability of heterogeneous liquid. Trans. Roy. Soc. Can. (3), 27, 1.Google Scholar