The dispersion relation of capillary waves in a plane moving liquid curtain is critically re-analyzed with an eye to its behavior near the origin of wavenumber space and the large-time asymptotics of the corresponding Green's function. Evidence is found that recent and less recent theories supporting the existence of a zero-wavenumber algebraic absolute instability contain serious inconsistencies. (C) 2004 American Institute of Physics.

Is a plane liquid curtain algebraically absolutely unstable?

LUCHINI, Paolo
2004-01-01

Abstract

The dispersion relation of capillary waves in a plane moving liquid curtain is critically re-analyzed with an eye to its behavior near the origin of wavenumber space and the large-time asymptotics of the corresponding Green's function. Evidence is found that recent and less recent theories supporting the existence of a zero-wavenumber algebraic absolute instability contain serious inconsistencies. (C) 2004 American Institute of Physics.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1002674
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