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arXiv · 2208.08974

Finite-time blowup for the inviscid vortex stretching equation

Evan Miller
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Abstract

In this paper, we will introduce the inviscid vortex stretching equation, which is a model equation for the 3D Euler equation where the advection of vorticity is neglected. We will show that there are smooth solutions of this equation which blowup in finite-time, even when restricting to axisymmetric, swirl-free solutions. This provides further evidence of the role of advection in depleting nonlinear vortex stretching for solutions of the 3D Euler equation.

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Evan Miller. 2022-08-18. Finite-time blowup for the inviscid vortex stretching equation. https://doi.org/10.1088/1361-6544%2Facd909

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