Vorticity blowup in 2D compressible Euler equations
Analysis of PDEs
2024-07-10 v1 Fluid Dynamics
Abstract
We prove finite-time vorticity blowup for smooth solutions of the 2D compressible Euler equations with smooth, localized, and non-vacuous 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 co-dimension stability.
Keywords
Cite
@article{arxiv.2407.06455,
title = {Vorticity blowup in 2D compressible Euler equations},
author = {Jiajie Chen and Giorgio Cialdea and Steve Shkoller and Vlad Vicol},
journal= {arXiv preprint arXiv:2407.06455},
year = {2024}
}