KAM for gravity water waves in finite depth

  • Pietro Baldi

    Università degli Studi di Napoli Federico II, Italy
  • Massimiliano Berti

    SISSA, Trieste, Italy
  • Emanuele Haus

    Università di Napoli Federico II, Italy
  • Riccardo Montalto

    Universität Zürich, Switzerland


We present the recent result in [3] concerning the existence of Cantor families of small amplitude, linearly stable, time quasi-periodic standing water wave solutions – i.e. periodic and even in the space variable – of a bi-dimensional ocean with finite depth under the action of pure gravity. Such a result holds for all the values of the depth parameter in a Borel set of asymptotically full measure.

Cite this article

Pietro Baldi, Massimiliano Berti, Emanuele Haus, Riccardo Montalto, KAM for gravity water waves in finite depth. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 2, pp. 215–236

DOI 10.4171/RLM/802