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

نویسندگان

  • K. CHOI
  • Y. YAO
چکیده

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, 2014a), we study models for the dynamics at the boundary and show that they exhibit a finite-time blow-up from smooth data.

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On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations

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. © 2017 Wiley Periodicals, Inc.

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تاریخ انتشار 2014