Self-similar singularity of a 1D model for the 3D axisymmetric Euler equations

被引：13

作者：

Hou, Thomas Y. ^{[1
]}

Liu, Pengfei ^{[1
]}

机构：

[1] CALTECH, Comp Math Sci, Pasadena, CA 91125 USA

来源：

RESEARCH IN THE MATHEMATICAL SCIENCES | 2015年 / 2卷 / 01期

关键词：

Euler Equation; Singular Solution; Interval Arithmetic; Decay Condition; Local Truncation Error;

D O I：

10.1186/s40687-015-0021-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the self-similar singularity of a 1D model for the 3D axisymmetric Euler equations, which approximates the dynamics of the Euler equations on the solid boundary of a cylindrical domain. We prove the existence of a discrete family of self-similar profiles for this model and analyze their far-field properties. The self-similar profiles we find are consistent with direct simulation of the model and enjoy some stability property.

引用

页数：26

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