The NLS approximation for two dimensional deep gravity waves

被引：8
作者：
Ifrim, Mihaela [1 ]
Tataru, Daniel [2 ]
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
SCIENCE CHINA-MATHEMATICS | 2019年 / 62卷 / 06期
基金：
美国国家科学基金会;
关键词：
water waves; gravity waves; normal forms; NLS approximation; 76B15; 35Q31;
D O I：
10.1007/s11425-018-9501-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is concerned with infinite depth gravity water waves in two space dimensions. We consider this system expressed in position-velocity potential holomorphic coordinates. Our goal is to study this problem with small wave packet data, and to show that this is well approximated by the cubic nonlinear Schrodinger equation (NLS) on the natural cubic time scale.
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页码：1101 / 1120
页数：20
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