A Coordinate-Based Proof of the Scallop Theorem
- Publisher: Society for Industrial and Applied Mathematics
SIAM Journal on Applied Mathematics,
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 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.