Main Result

  • Massimiliano Berti
  • Jean-Marc Delort
Part of the Lecture Notes of the Unione Matematica Italiana book series (UMILN, volume 24)


This second chapter is devoted to the statement of the main theorem we shall establish. The goal of the book is to prove that, for any arbitrary integer N, the capillary-gravity water waves equations, with periodic, even initial data, smooth enough and of small size 𝜖, have a solution defined on a time interval of length cN𝜖N, if the gravity-capillary parameters are taken outside a subset of zero measure.


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Authors and Affiliations

  • Massimiliano Berti
    • 1
  • Jean-Marc Delort
    • 2
  1. 1.Department of MathematicsInternational School for Advanced Studies SISSATriesteItaly
  2. 2.LAGASorbonne Paris-Cité/University Paris 13VilletaneuseFrance

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