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

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

doi:10.1002/cpa.21697

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

Kyudong Choi, Vladimir Sverak + Show 4 more

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https://doi.org/10.1002/cpa.21697

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Journal: Communications on Pure and Applied Mathematics	Publication Date: May 3, 2017
Citations: 48

Affiliation: Ulsan National Institute of Science and Technology, University of Minnesota, California Institute of Technology, Georgia Institute of Technology, Rice University, City University of Hong Kong

#Axisymmetric Euler Equations #Incompressible Euler's Equations + Show 4 more

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Abstract

AbstractIn 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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