Journal of Fluid Mechanics

Note on a paper of John W. Miles

Louis N.  Howard a1
a1 Mathematics Department, Massachusetts Institute of Technology

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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.

(Published Online March 28 2006)
(Received March 21 1961)