Finite time blow-up for a Dyadic model of the Euler equations

被引：58

作者：

Katz, NH ^{[1
]}

Pavlovic, N

机构：

[1] Washington Univ, Dept Math, St Louis, MO 63130 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 357卷 / 02期

关键词：

D O I：

10.1090/S0002-9947-04-03532-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a dyadic model for the Euler equations and the Navier-Stokes equations with hyper-dissipation in three dimensions. For the dyadic Euler equations we prove finite time blow-up. In the context of the dyadic Navier-Stokes equations with hyper-dissipation we prove finite time blow-up in the case when the dissipation degree is sufficiently small.

引用

页码：695 / 708

页数：14

共 11 条

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