On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations

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

arxiv: 1407.4776 · v2 · pith:QL4QSVYLnew · submitted 2014-07-17 · 🧮 math.AP

On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations

Kyudong Choi , Thomas Y. Hou , Alexander Kiselev , Guo Luo , Vladimir Sverak , Yao Yao This is my paper

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keywords boundaryequationseulerfinite-timeaxi-symmetricaxisymmetricblow-upblowup

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In connection with the recent proposal for possible singularity formation at the boundary for solutions of 3d axi-symmetric incompressible Euler's equations (Luo and Hou, 2013), we study models for the dynamics at the boundary and show that they exhibit a finite-time blow-up from smooth data.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system
math.AP 2026-05 unverdicted novelty 6.0

The authors unify the Boussinesq and axisymmetric Euler systems into a parameterized boundary-jet model and prove finite-time blow-up for its closed truncation using a Riccati argument.