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Transverse instability of gravity-capillary line solitary water waves
preprint
posted on 2006-01-24, 16:12 authored by Mark D. Groves, M. Haragus, S.M. SunThe gravity-capillary water-wave problem concerns the irrotational flow of
a perfect fluid in a domain bounded below by a rigid bottom and above
by a free surface under the influence of gravity and surface tension. In the
case of large surface tension the system has a travelling line solitary-wave
solution for which the free surface has a localised profile in the direction of
propagation and is homogeneous in the transverse direction. In this note
we show that this line solitary wave is linearly unstable under spatially
inhomogeneous perturbations which are periodic in the direction transverse
to propagation.
History
School
- Science
Department
- Mathematical Sciences
Pages
152212 bytesPublication date
2001Notes
This is a pre-print. The definitive version: GROVES, M.D., HARAGUS, M. and SUN, S.M., 2001. Transverse instability of gravity-capillary line solitary water waves. Comptes Rendus de l'Academie de Sciences: Serie I - Mathematique, 333(5), pp.421-426Language
- en