@inbook{00a9c591de384de4994b9e6a70299d0a,
title = "The water-wave equations: From Zakharov to Euler",
abstract = "Starting from the Zakharov/Craig–Sulem formulation of the water-wave equations, we prove that one can define a pressure term and hence obtain a solution of the classical Euler equations. It is proved that these results hold in rough domains, under minimal assumptions on the regularity to ensure, in terms of Sobolev spaces, that the solutions are C 1.",
keywords = "Cauchy theory, Euler equations, Water-wave system",
author = "Thomas Alazard and Nicolas Burq and Claude Zuily",
note = "Publisher Copyright: {\textcopyright} 2013, Springer Science+Business Media New York.",
year = "2013",
month = jan,
day = "1",
doi = "10.1007/978-1-4614-6348-1\_1",
language = "English",
series = "Progress in Nonlinear Differential Equations and Their Application",
publisher = "Springer",
pages = "1--20",
booktitle = "Progress in Nonlinear Differential Equations and Their Application",
}