Pith. sign in

REVIEW

Remarks on stationary and uniformly-rotating vortex sheets: Rigidity results

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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

arxiv 2012.04548 v1 pith:ZEPHH5WU submitted 2020-12-08 math.AP

Javier Gómez-Serrano , Jaemin Park , Jia Shi , Yao Yao This is my paper
classification math.AP
keywords finitestationaryunionvortexvorticityamplitudeangularargument
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper, we show that the only solution of the vortex sheet equation, either stationary or uniformly rotating with negative angular velocity $\Omega$, such that it has positive vorticity and is concentrated in a finite disjoint union of smooth curves with finite length is the trivial one: constant vorticity amplitude supported on a union of nested, concentric circles. The proof follows a desingularization argument and a calculus of variations flavor.

Discussion (0). Sign in to comment.

Pith tools