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

KYUDONG CHOI Ulsan National Institute of Science and Technology THOMAS Y. HOU California Institute of Technology ALEXANDER KISELEV Rice University GUO LUO City University of Hong Kong VLADIMIR SVERAK University of Minnesota YAO YAO Georgia Institute of Technology

Analysis of PDEs mathscidoc:1705.03003

CPAM, 2017
In connection with the recent proposal for possible singularity formation at the boundary for solutions of three-dimensional axisymmetric incompressible Euler’s equations (Luo and Hou, Proc. Natl. Acad. Sci. USA (2014)), we study models for the dynamics at the boundary and show that they exhibit a finite-time blowup from smooth data.
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@inproceedings{kyudong2017on,
  title={On the Finite-time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations},
  author={KYUDONG CHOI, THOMAS Y. HOU, ALEXANDER KISELEV, GUO LUO, VLADIMIR SVERAK, and YAO YAO},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170530161651254334772},
  booktitle={CPAM},
  year={2017},
}
KYUDONG CHOI, THOMAS Y. HOU, ALEXANDER KISELEV, GUO LUO, VLADIMIR SVERAK, and YAO YAO. On the Finite-time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations. 2017. In CPAM. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170530161651254334772.
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