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

页码：2218 / 2243

页数：26

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