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

Publication ,  Journal Article
Choi, K; Hou, TY; Kiselev, A; Luo, G; Sverak, V; Yao, Y
Published in: Communications on Pure and Applied Mathematics
November 1, 2017

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.

Duke Scholars

Published In

Communications on Pure and Applied Mathematics

DOI

EISSN

1097-0312

ISSN

0010-3640

Publication Date

November 1, 2017

Volume

70

Issue

11

Start / End Page

2218 / 2243

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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Choi, K., Hou, T. Y., Kiselev, A., Luo, G., Sverak, V., & Yao, Y. (2017). On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations. Communications on Pure and Applied Mathematics, 70(11), 2218–2243. https://doi.org/10.1002/cpa.21697
Choi, K., T. Y. Hou, A. Kiselev, G. Luo, V. Sverak, and Y. Yao. “On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations.” Communications on Pure and Applied Mathematics 70, no. 11 (November 1, 2017): 2218–43. https://doi.org/10.1002/cpa.21697.
Choi K, Hou TY, Kiselev A, Luo G, Sverak V, Yao Y. On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations. Communications on Pure and Applied Mathematics. 2017 Nov 1;70(11):2218–43.
Choi, K., et al. “On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations.” Communications on Pure and Applied Mathematics, vol. 70, no. 11, Nov. 2017, pp. 2218–43. Scopus, doi:10.1002/cpa.21697.
Choi K, Hou TY, Kiselev A, Luo G, Sverak V, Yao Y. On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations. Communications on Pure and Applied Mathematics. 2017 Nov 1;70(11):2218–2243.
Journal cover image

Published In

Communications on Pure and Applied Mathematics

DOI

EISSN

1097-0312

ISSN

0010-3640

Publication Date

November 1, 2017

Volume

70

Issue

11

Start / End Page

2218 / 2243

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics