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

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

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20 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2218-2243
Number of pages26
JournalCommunications on Pure and Applied Mathematics
Volume70
Issue number11
DOIs
StatePublished - Nov 2017

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© 2017 Wiley Periodicals, Inc.

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