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math.AP2012
The water waves equations: from Zakharov to Euler
Thomas Alazard, Nicolas Burq, Claude Zuily
Starting form the Zakharov/Craig-Sulem formulation of the water-waves equations, we prove that one can define a pressure term and hence obtain a solution of the classical Euler equ…
math.AP2012
On the Cauchy problem for gravity water waves
Thomas Alazard, Nicolas Burq, Claude Zuily
We are interested in the system of gravity water waves equations without surface tension. Our purpose is to study the optimal regularity thresholds for the initial conditions. In t…