On the speed of solitary waves running down a vertical wall

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.
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-01024966
Contributor : Denis Roura <>
Submitted on : Monday, July 28, 2014 - 1:10:32 PM
Last modification on : Wednesday, March 27, 2019 - 4:39:25 PM
Long-term archiving on : Monday, November 24, 2014 - 5:05:28 PM

File

S0022112005003885a.pdf
Publisher files allowed on an open archive

Identifiers

Collections

Citation

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

Share

Metrics

Record views

127

Files downloads

365