Existence of Multimodal Standing Gravity Waves - Université Côte d'Azur Access content directly
Journal Articles Journal of Mathematical Fluid Mechanics Year : 2005

Existence of Multimodal Standing Gravity Waves

Abstract

We consider two-dimensional standing gravity waves on the surface of an infinitely deep perfect fluid, the flow being potential. It is known that the linearized problem is completely resonant. Following the method described in [4], we prove the existence of an infinity of multimodal standing gravity waves, corresponding to any choice of asymptotic expansion in powers of the amplitude ε, indicated in [2] and [3]. Each one of these solutions exist for a set of values of ε being dense in 0.
Fichier principal
Vignette du fichier
GI-PP_2.pdf (177.71 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01265188 , version 1 (31-01-2016)

Identifiers

Cite

Gérard Iooss, Pavel Plotnikov. Existence of Multimodal Standing Gravity Waves. Journal of Mathematical Fluid Mechanics, 2005, 7 (S), pp.16. ⟨10.1007/s00021-005-0164-8⟩. ⟨hal-01265188⟩
79 View
123 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More