2 papers
math.AP2026
A new class of Euler explosions
Jiajie Chen, Giorgio Cialdea, Steve Shkoller +1
We study the global-in-time continuation, past the singularity, of the smooth, non-isentropic, radially symmetric imploding solutions of the compressible Euler equations recently c…
math.AP2024
Vorticity blowup in 2D compressible Euler equations
Jiajie Chen, Giorgio Cialdea, Steve Shkoller +1
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…