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

Publication ,  Journal Article
Choi, K; Hou, TY; Kiselev, A; Luo, G; Sverak, V; Yao, Y
July 17, 2014

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.

Duke Scholars

Publication Date

July 17, 2014
 

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Choi, K., Hou, T. Y., Kiselev, A., Luo, G., Sverak, V., & Yao, Y. (2014). On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations.
Choi, Kyudong, 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,” July 17, 2014.
Choi K, Hou TY, Kiselev A, Luo G, Sverak V, Yao Y. On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations. 2014 Jul 17;
Choi K, Hou TY, Kiselev A, Luo G, Sverak V, Yao Y. On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations. 2014 Jul 17;

Publication Date

July 17, 2014