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

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

  • KYUDONG CHOI
  • THOMAS Y. HOU
  • ALEXANDER KISELEV
  • VLADIMIR SVERAK
  • YAO YAO

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)2218-2243
Number of pages26
Journal / PublicationCommunications on Pure and Applied Mathematics
Volume70
Issue number11
Online published3 May 2017
Publication statusPublished - Nov 2017

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.

Citation Format(s)

On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations. / CHOI, KYUDONG; HOU, THOMAS Y.; KISELEV, ALEXANDER et al.
In: Communications on Pure and Applied Mathematics, Vol. 70, No. 11, 11.2017, p. 2218-2243.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review