Geometric properties and nonblowup of 3D incompressible Euler flow

被引：79

作者：

Deng, J ^{[1
]}

Hou, TY ^{[1
]}

Yu, XW ^{[1
]}

机构：

[1] CALTECH, Pasadena, CA 91125 USA

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2005年 / 30卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

3D Euler equations; finite time blow-up; geometric properties; global existence;

D O I：

10.1081/PDE-200044488

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By exploring a local geometric property of the vorticity field along a vortex filament, we establish a sharp relationship between the geometric properties of the vorticity field and the maximum vortex stretching. This new understanding leads to an improved result of the global existence of the 3D Euler equation under mild assumptions.

引用

页码：225 / 243

页数：19

共 22 条

[1]

Babin A, 2001, INDIANA U MATH J, V50, P1

[2] REMARKS ON THE BREAKDOWN OF SMOOTH SOLUTIONS FOR THE 3-D EULER EQUATIONS [J].