Remarks on the helicity of the 3-D incompressible Euler equations

被引：23

作者：

Chae, DH ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151742, South Korea

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2003年 / 240卷 / 03期

关键词：

D O I：

10.1007/s00220-003-0910-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this note we obtain a sufficient condition on the regularity of the weak solutions to guarantee the conservation of helicity for the 3-D incompressible Euler equations. As a corollary we obtain a lower bound of the vorticities for a weak solution of the Euler equations.

引用

页码：501 / 507

页数：7

共 6 条

[1]

[Anonymous], VORTICITY INCOMPRESS

[2]

Arnold V. I., 1998, TOPOLOGICAL METHODS

[3] ONSAGER CONJECTURE ON THE ENERGY-CONSERVATION FOR SOLUTIONS OF EULER EQUATION [J].