REVIEW 3 cited by
Vorticity blowup in 2D compressible Euler equations
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original 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.
Forward citations
Cited by 3 Pith papers
-
Self-similar blow-up solutions of $d$-dimensional incompressible Euler equations with $C^{1,\left(1-2/d\right)-}$ velocity
For every d≥3 and every α<1−2/d, axisymmetric swirl-free incompressible Euler admits self-similar blow-up solutions with C^{1,α} initial velocity that is smooth away from the origin.
-
On putative self-similarity for incompressible 3D Euler
Self-similar blow-up exponents for 3D Euler are shown to satisfy γ≥2/5 for finite-energy solutions and γ≥1/2 for globally self-similar profiles with outgoing or axisymmetric nodal conditions.
-
Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity
Analytic low-rank corrections convert numerically determined global basis functions into exactly vanishing local modes, enforcing |x|^3 vanishing conditions needed for singular weighted stability estimates in computer...
Discussion (0). Continue with ORCID to comment.