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


The capillary-gravity water waves equations describe the motion of the interface between an incompressible irrotational fluid in a gravity field and air, in the presence of surface tension. In the case of the one dimensional problem with finite depth, corresponding to a two-dimensional fluid, the velocity of the fluid is given by the gradient of an harmonic potential


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Copyright information

© Springer Nature Switzerland AG 2018

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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