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A CoordinateBased Proof of the Scallop Theorem
Article
English
OPEN
Ishimoto, Kenta
;
Yamada, Michio
(2012)
Publisher:
Society for Industrial and Applied Mathematics
Journal:
SIAM Journal on Applied Mathematics
,
volume
72
,
issue
5
,
pages
1,686

1,694
(
issn: 00361399
)
Subject:
Stokes flow  microorganism  scallop theorem
arxiv:
Physics::Fluid Dynamics  Physics::Biological Physics  Quantitative Biology::Other  Quantitative Biology::Cell Behavior
We reconsider fluid dynamics for a selfpropulsive swimmer in Stokes flow. With an exact definition of deformation of a swimmer, a coordinatebased proof is first given to Purcell's scallop theorem including the body rotation.
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