Titolo | Lyapunov stability of solitary rotational water waves |
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Tipo di pubblicazione | Articolo su Rivista peer-reviewed |
Anno di Pubblicazione | 1986 |
Autori | Artale, V., Salusti E., and Santoleri R. |
Rivista | Geophysical & Astrophysical Fluid Dynamics |
Volume | 37 |
Paginazione | 237-251 |
ISSN | 03091929 |
Abstract | Generalizing an idea of Arnold, we discuss the hydrodynamic stability a la Lyapunov of solitary water-waves which are rotational solutions of the Euler equation, travelling with constant phase speed F. In the reference frame moving with the wave profile, the solitary wave is described by a solution of [formula omitted]. We show that if [formula omitted], as in other applications of Arnold's idea, and if [formula omitted] at the air sea surface, a rather realistic request, the system is stable for (a) small vertical or horizontal space scale perturbations; (b) perturbations with a very long vertical space scale and very small horizontal space scale or with a very long horizontal space scale and very small vertical space scale. Finally we show that the system is also stable for irrotational perturbations. © 1986, Taylor & Francis Group, LLC. All rights reserved. |
Note | cited By 0 |
URL | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84963160151&doi=10.1080%2f03091928608210098&partnerID=40&md5=e112be372410470e4b6ee468d3a825dc |
DOI | 10.1080/03091928608210098 |
Citation Key | Artale1986237 |