arXiv:1407.5740 Abstract | arXiv Analytics

arXiv:1407.5740 [math.AP]Abstract References Reviews Resources

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

Published 2014-07-22, updated 2015-02-20Version 2

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.

Categories: math.AP

Subjects: 35Q35

Keywords: 3d axisymmetric euler equations, self-similar singularity, 1d model, self-similar profiles, singularity formation scenario

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