On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations

被引：46
|
作者：
Choi, Kyudong [1 ]
Hou, Thomas Y. [2 ]
Kiselev, Alexander [3 ]
Luo, Guo [4 ]
Sverak, Vladimir [5 ]
Yao, Yao [6 ]
机构：
[1] Ulsan Natl Inst Sci & Technol, Dept Math Sci, UNIST Gil 50, Ulsan 44919, South Korea
[2] CALTECH, Appl & Computat Math, Pasadena, CA 91125 USA
[3] Rice Univ, Dept Math, 6100 Main St, Houston, TX 77005 USA
[4] City Univ Hong Kong, Dept Math, Tat Chee Ave, Kowloon Tong, Hong Kong, Peoples R China
[5] Univ Minnesota, Sch Math, 206 Church St SE, Minneapolis, MN 55455 USA
[6] Georgia Inst Technol, Sch Math, 686 Cherry St, Atlanta, GA 30332 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2017年 / 70卷 / 11期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1002/cpa.21697
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In connection with the recent proposal for possible singularity formation at the boundary for solutions of three-dimensional axisymmetric incompressible Euler's equations (Luo and Hou, Proc. Natl. Acad. Sci. USA (2014)), we study models for the dynamics at the boundary and show that they exhibit a finite-time blowup from smooth data. (c) 2017 Wiley Periodicals, Inc.
引用
收藏
页码：2218 / 2243
页数：26
相关论文
共 50 条
12345