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

doi:10.1002/cpa.21697

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

School of Mathematics

Research output: Contribution to journal › Article › peer-review

42 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 language	English (US)
Pages (from-to)	2218-2243
Number of pages	26
Journal	Communications on Pure and Applied Mathematics
Volume	70
Issue number	11
DOIs	https://doi.org/10.1002/cpa.21697
State	Published - Nov 2017

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© 2017 Wiley Periodicals, Inc.

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https://authors.library.caltech.edu/77284/2/1407.4776

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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.",

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AU - Kiselev, Alexander

AU - Luo, Guo

AU - Sverak, Vladimir

AU - Yao, Yao

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

Abstract

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