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

页码：786 / 789

页数：4

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