Finite time singularities for the free boundary incompressible Euler equations

被引：79
作者：
Castro, Angel [1 ,2 ,3 ]
Cordoba, Diego [4 ]
Fefferman, Charles [5 ]
Gancedo, Francisco [6 ]
Gomez-Serrano, Javier [4 ,5 ]
机构：
[1] Ecole Normale Super, 24 Rue Lhomond, F-75231 Paris, France
[2] Inst Ciencias Matemat, Madrid, Spain
[3] Univ Autonoma Madrid, Madrid, Spain
[4] CSIC, Madrid, Spain
[5] Princeton Univ, Princeton, NJ 08544 USA
[6] Univ Seville, Seville, Spain
来源：
ANNALS OF MATHEMATICS | 2013年 / 178卷 / 03期
基金：
美国国家科学基金会;
关键词：
WATER-WAVES EQUATION; WELL-POSEDNESS; FREE-SURFACE; INTERFACE EVOLUTION; GLOBAL-SOLUTIONS; SOBOLEV SPACES; MUSKAT PROBLEM; MOTION; EXISTENCE; BREAKDOWN;
D O I：
10.4007/annals.2013.178.3.6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the existence of smooth initial data for the 2D free boundary incompressible Euler equations (also known for some particular scenarios as the water wave problem) for which the smoothness of the interface breaks down in finite time into a splash singularity or a splat singularity.
引用
收藏
页码：1061 / 1134
页数：74
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