Almost global existence of solutions for capillarity-gravity water waves equations with periodic spatial boundary conditions

@inproceedings{Berti2017AlmostGE,
  title={Almost global existence of solutions for capillarity-gravity water waves equations with periodic spatial boundary conditions},
  author={Massimiliano Berti and Jean-Marc Delort},
  year={2017}
}
The goal of this monograph is to prove that any solution of the Cauchy problem for the capillarity-gravity water waves equations, in one space dimension, with periodic, even in space, initial data of small size , is almost globally defined in time on Sobolev spaces, i.e. it exists on a time interval of length of magnitude −N for any N , as soon as the… CONTINUE READING