Ondes de gravité stationnaires en profondeur infinie

Translated title of the contribution: Standing waves on infinite depth

Gérard Iooss, Pavel Plotnikov, John Toland

Research output: Contribution to journalArticlepeer-review

3 Citations (SciVal)


The two-dimensional standing wave problem, for an infinitely deep layer, is considered, based on the formulation of the problem as a second order non local PDE. Despite the presence of infinitely many resonances in the linearized problem, we use the Nash-Moser implicit function theorem to prove the existence of standing waves corresponding to values of the amplitude having 0 as a Lebesgue point.

Translated title of the contributionStanding waves on infinite depth
Original languageFrench
Pages (from-to)425-431
Number of pages7
JournalComptes Rendus Mathematique
Issue number5
Publication statusPublished - 1 Mar 2004

ASJC Scopus subject areas

  • Mathematics(all)


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