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
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.
Integrity signals
Registry
Cites
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.
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
Purcell, E. M. (1977) · American Journal of Physics · doi:10.1119/1.10903 · Cited by 4,360
Cited by
Synthetische molekulare Motoren und mechanische Maschinen
Kay, E. R., Leigh, D. A., & Zerbetto, F. (2007) · Angewandte Chemie · doi:10.1002/ange.200504313 · Cited by 624
Propulsion of Microorganisms by Surface Distortions
Stone, H. A., & Samuel, A. D. T. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.4102 · Cited by 462
On self-propulsion of micro-machines at low Reynolds number: Purcell's three-link swimmer
BECKER, L. E., KOEHLER, S. A., & STONE, H. A. (2003) · Journal of Fluid Mechanics · doi:10.1017/s0022112003005184 · Cited by 337
Polarization of light and topological phases
Bhandari, R. (1997) · Physics Reports · doi:10.1016/s0370-1573(96)00029-4 · Cited by 298
Swimming at low Reynolds number: a beginners guide to undulatory locomotion
Cohen, N., & Boyle, J. H. (2010) · Contemporary Physics · doi:10.1080/00107510903268381 · Cited by 110
Metadata
- Authors
- Shapere, A., & Wilczek, F.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- 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.