On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations

Abstract

In connection with the recent proposal for possible singularity formation at the boundary for solutions of 3d axi-symmetric incompressible Euler's equations (Luo and Hou, 2013), we study models for the dynamics at the boundary and show that they exhibit a finite-time blow-up from smooth data.

A paragraph at the end of Section 2 and an appendix discussing kinetic energy conservation are added

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