Blowup of 1D Models for 3D Incompressible Axisymmetric Euler Equations

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：lutiaotiao

【摘要】

：

　　Inspired by the recent computation of 3D Euler singularity,we investigate the self-similar singularity for a 1D model of the 3D axisymmetric Euler equations

【作者】

：

HouThomas;

【机构】

：

Caltech

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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论文部分内容阅读

　　Inspired by the recent computation of 3D Euler singularity,we investigate the self-similar singularity for a 1D model of the 3D axisymmetric Euler equations.This work is motivated by a particular singularity formation scenario observed in numerical computation.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 agree with direct simulation of the model and seem to have some stability.

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Blowup of 1D Models for 3D Incompressible Axisymmetric Euler Equations

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