Pith. Sign in

RECORD

An antisymmetric solution of the 3D incompressible Navier-Stokes equations

PaperPDF from arXiv

data files

Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
X Bluesky LinkedIn Reddit Hacker News
C. Boldrighini, S. Frigio, P. Maponi, A. Pellegrinotti, Ya. G. Sinai

Mathematical Physics · Submitted 30 Oct 2019

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim There is however no rotation around the axis and the approximate axial symmetry with no swirl excludes a real blow-up.

how it is stated · asserted 0.99 read the record →

Comment (0) Read on arXiv ↗
Cite ▾
arXiv ID1910.13833 (version 2)
Pith IDTZX2GIR7, Pith's permanent record of this paper and its review
CitationA. Pellegrinotti, C. Boldrighini, P. Maponi, S. Frigio, Ya. G. Sinai. "An antisymmetric solution of the 3D incompressible Navier-Stokes equations." arXiv:1910.13833 (2019). https://pith.science/paper/TZX2GIR7
Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,627 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.88 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.75 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We report results on the behavior of a particular incompressible Navier-Stokes (NS) flow in the whole space $\R^{3}$, related to the complex singular solutions introduced by Li and Sinai in \cite{LiSi08} that blow up at a finite time. The flow exhibits for some time a tornado-like behavior: a sharp increase of vorticity and of the maximal velocity, with concentration in an annular region around an axis. There is however no rotation around the axis and the approximate axial symmetry with no swirl excludes a real blow-up. We conclude with a discussion on the possible candidates for a real blow-up.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We report results on the behavior of a particular incompressible Navier-Stokes (NS) flow in the whole space $\R^{3}$, related to the complex singular solutions introduced by Li and Sinai in \cite{LiSi08} that blow up at a finite time. contribution 0.88 0.73 0.06 asserted 0.99
s1 The flow exhibits for some time a tornado-like behavior: a sharp increase of vorticity and of the maximal velocity, with concentration in an annular region around an axis. result 1.00 0.80 0.05 asserted 0.98
s2 There is however no rotation around the axis and the approximate axial symmetry with no swirl excludes a real blow-up. interpretation 0.57 0.79 0.64 asserted 0.99
s3 We conclude with a discussion on the possible candidates for a real blow-up. future work 0.93 0.61 0.09 unclear 0.73

What kind of paper the classifier reports this is: simulation study 0.70 · evidence from simulation or computation 0.70.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We report results on the behavior of a particular incompressible Navier-Stokes (NS) flow in the whole space $\R^{3}$, related to the complex singular solutions introduced by Li and Sinai in \cite{LiSi08} that blow up at a finite time. The flow exhibits for some time a tornado-like behavior: a sharp increase of vorticity and of the maximal velocity, with concentration in an annular region around an axis. There is however no rotation around the axis and the approximate axial symmetry with no swirl excludes a real blow-up. We conclude with a discussion on the possible candidates for a real blow-up.

Human review

How Pith checks papers → · Full audit of this paper →

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.