On the Cauchy problem for gravity water waves
On the Cauchy problem for gravity water waves
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DOI：
10.1007/s00222-014-0498-z
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发表时间：
2012-12
影响因子：
3.1
通讯作者：
T. Alazard;N. Burq;C. Zuily
中科院分区：
文献类型：
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作者：
T. Alazard;N. Burq;C. 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 terms of Sobolev embeddings, the initial surfaces we consider turn out to be only of-class for someand consequently have unbounded curvature, while the initial velocities are only Lipschitz. We reduce the system using a paradifferential approach.
