SOLITARY WAVES IN BUBBLY LIQUIDS ARE LINEARLY UNSTABLE

Authors
GAVRILYUK SL
Citation
Sl. Gavrilyuk, SOLITARY WAVES IN BUBBLY LIQUIDS ARE LINEARLY UNSTABLE, European journal of mechanics. B, Fluids, 15(1), 1996, pp. 37-53
Citations number
23
Categorie Soggetti
Mechanics
Journal title
European journal of mechanics. B, Fluids → ACNP
ISSN journal
09977546
Volume
15
Issue
1
Year of publication
1996
Pages
37 - 53
Database
ISI
SICI code
0997-7546(1996)15:1<37:SWIBLA>2.0.ZU;2-3
Abstract
The linear stability for multi-dimensional perturbations of solitary w aves in an incompressible liquid containing small gas bubbles is inves tigated here. A linear spectral problem for perturbations is obtained and, using a formal asymptotic expansion, the existence of its eigenva lue in the right half-plane is proved. This means that the perturbatio ns increase exponentially in time, and hence, the solitary waves are l inearly unstable.