The Water-Wave Equations: From Zakharov to Euler

被引：17

作者：

Alazard, Thomas ^{[1
,2
]}

Burq, Nicolas ^{[3
,4
]}

Zuily, Claude ^{[3
,4
]}

机构：

[1] Ecole Normale Super, Dept Math & Applicat, F-75230 Paris 05, France

[2] CNRS, UMR 8553, F-75230 Paris 05, France

[3] Univ Paris 11, Dept Math, F-91405 Orsay, France

[4] CNRS, F-91405 Orsay, France

来源：

STUDIES IN PHASE SPACE ANALYSIS WITH APPLICATIONS TO PDES | 2013年 / 84卷

关键词：

Cauchy theory; Euler equations; Water-wave system; WELL-POSEDNESS;

D O I：

10.1007/978-1-4614-6348-1_1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 20

页数：20

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