Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A rigorous proof of the scallop theorem and a finite mass effect of a
  microswimmer   We reconsider fluid dynamics for a self-propulsive swimmer in Stokes flow.
With an exact definition of deformation of a swimmer, a proof is given to
Purcell's scallop theorem including the body rotation. The breakdown of the
theorem due to a finite Stokes number is discussed by using a perturbation
expansion method and it is found that the breakdown generally occurs at the
first order of the Stokes number. In addition, employing the Purcell's
"scallop" model, we show that the theorem holds up to a higher order if the
strokes of the swimmer has some symmetry.

4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph