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arXiv · 1407.5740

Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations

Thomas Y. Hou·Pengfei Liu
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Abstract

We investigate the self-similar singularity of a 1D model for the 3D axisymmetric Euler equations, which 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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Thomas Y. Hou, Pengfei Liu. 2014-07-22. Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations. https://arxiv.org/abs/1407.5740

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