Vorticity blowup in 2D compressible Euler equations
Abstract
We prove finite-time vorticity blowup for smooth solutions of the 2D compressible Euler equations with smooth, localized, and nonvacuous initial data. The vorticity blowup occurs at the time of the first singularity, and is accompanied by an axisymmetric implosion in which the swirl velocity enjoys full stability, as opposed to finite codimension stability.
Fields of Study & Subjects
Computational Fluid Dynamics and Aerodynamics
Navier-Stokes equation solutions
Gas Dynamics and Kinetic Theory
Publication details
- Journal / source
- Duke Mathematical Journal
- Publisher
- Duke University Press
- Volume
- 175
- Issue
- 13
- Pages
- 2331–2423
- Publication date
- 26 August 2026
- Language
- EN