publication . Article . Other literature type . 2012

A COORDINATE-BASED PROOF OF THE SCALLOP THEOREM ∗

Ishimoto, Kenta; Yamada, Michio;
Open Access
  • Published: 01 Oct 2012 Journal: SIAM Journal on Applied Mathematics, volume 72, pages 1,686-1,694 (issn: 0036-1399, eissn: 1095-712X, Copyright policy)
  • Publisher: Society for Industrial & Applied Mathematics (SIAM)
Abstract
We reconsider fluid dynamics for a self-propulsive swimmer in Stokes flow. With an exact definition of deformation of a swimmer, a coordinate-based proof is first given to Purcell's scallop theorem including the body rotation.
Subjects
arXiv: Physics::Biological PhysicsQuantitative Biology::OtherQuantitative Biology::Cell BehaviorPhysics::Fluid Dynamics
free text keywords: Applied Mathematics, Stokes flow, Deformation (mechanics), Scallop theorem, Mathematics, Classical mechanics, Fluid dynamics, Mathematical analysis, microorganism
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publication . Article . Other literature type . 2012

A COORDINATE-BASED PROOF OF THE SCALLOP THEOREM ∗

Ishimoto, Kenta; Yamada, Michio;