Energy Concentrations and Type I Blow-Up for the 3D Euler Equations

被引：4
|
作者：
Chae, Dongho [1 ,2 ]
Wolf, Joerg [1 ]
机构：
[1] Chung Ang Univ, Dept Math, 84 Heukseok Ro, Seoul 06974, South Korea
[2] Korea Inst Adv Study, Sch Math, 85 Hoegi Ro, Seoul 02455, South Korea
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2020年 / 376卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
SELF-SIMILAR SINGULARITIES; SCHRODINGER-EQUATION; STOKES;
D O I：
10.1007/s00220-019-03566-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We exclude Type I blow-up, which occurs in the form of atomic concentrations of the L2 norm for the solution of the 3D incompressible Euler equations. As a corollary we prove nonexistence of discretely self-similar blow-up in the energy conserving scale.
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页码：1627 / 1669
页数：43
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