Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 391

The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.

Geometry of self-propulsion at low Reynolds number

Shapere, Alfred, Wilczek, Frank·1989·Journal of Fluid Mechanics

Abstract

The problem of swimming at low Reynolds number is formulated in terms of a gauge field on the space of shapes. Effective methods for computing this field, by solving a linear boundary-value problem, are described. We employ conformal-mapping techniques to calculate swimming motions for cylinders with a variety of crosssections. We also determine the net translationl motion due to arbitrary infinitesimal deformations of a sphere.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1017/s002211208900025x

Cites

1 of 1 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 1 references

Cited by

See all 391

Metadata

Authors
Shapere, A., & Wilczek, F.
Venue
Journal of Fluid Mechanics
Published
1989-01
Volume
198
Pages
557-585
ISSN
  • 0022-1120 (ISSN-L)
  • 1469-7645
OpenAlex
W1981890426
Cited by
391
References
1
FWCI
0.90
Type
journal article
Language
en
Open access
closed

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Geometry of self-propulsion at low Reynolds number. https://app.cochat.ai/papers/10.1017/s002211208900025x
The paper
Shapere, A., & Wilczek, F. (1989). Geometry of self-propulsion at low Reynolds number. Journal of Fluid Mechanics. https://doi.org/10.1017/s002211208900025x

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.