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Journal Articles Journal of Fluid Mechanics Year : 2005

On the speed of solitary waves running down a vertical wall

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Abstract

Solitary-wave solutions to surface equations or two-equation models of film flows are investigated within the framework of dynamical system theory. The limiting behaviour of one-humped solitary waves (homoclinic orbits) at large Reynolds numbers is considered. Their predicted speed is in good agreement with numerical findings. The theory also explains the absence of solitary-wave solutions to the Benney equation in the same limit. © 2005 Cambridge University Press.
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Dates and versions

hal-01024966 , version 1 (28-07-2014)

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C. Ruyer-Quil, Paul Manneville. On the speed of solitary waves running down a vertical wall. Journal of Fluid Mechanics, 2005, 531, pp.181-190. ⟨10.1017/s0022112005003885⟩. ⟨hal-01024966⟩
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