Potato chip singularities of 3D flows

被引：6
|
作者：
Cordoba, D [1 ]
Fefferman, C [1 ]
机构：
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2001年 / 33卷 / 04期
关键词：
incompressible flow; singularity; potato chip; magnetohydrodynamics;
D O I：
10.1137/S0036141001384995
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A potato chip singularity forms when two distinct surfaces moving with a three-dimensional (3D) fluid coincide at a finite time. Potato chip singularities were suggested by a numerical study of 3D ideal magnetohydrodynamics. We prove that an incompressible flow satisfying a mild assumption on velocity growth cannot form a potato chip singularity.
引用
收藏
页码：786 / 789
页数：4
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