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On the non-existence of periodic neutral-wave solutions to a complex-valued periodic differential equation
Published online by Cambridge University Press: 26 February 2010
Abstract
The equation
where ℱ is a certain complex-valued function of the given real periodic function λ, is studied analytically and numerically. The equation is motivated physically by a boundary-layer stability problem in which λ represents the skin-friction of the undisturbed basic flow profile. It is proved that no periodic neutral solutions exist for any attached basic flow and the implications of this result for certain vortex-wave interactions are discussed.
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- Copyright © University College London 1996
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