arXiv:1407.4776 Abstract | arXiv Analytics

arXiv:1407.4776 [math.AP]Abstract References Reviews Resources

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

Kyudong Choi, Thomas Y. Hou, Alexander Kiselev, Guo Luo, Vladimir Sverak, Yao Yao

Published 2014-07-17, updated 2015-09-14Version 2

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.

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

Categories: math.AP

Keywords: 3d axisymmetric euler equations, 1d model, finite-time blowup, 3d axi-symmetric incompressible eulers equations

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