Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An integral model based on slender body theory, with applications to
  curved rigid fibers   We propose a novel integral model describing the motion of curved slender
fibers in viscous flow, and develop a numerical method for simulating dynamics
of rigid fibers. The model is derived from nonlocal slender body theory (SBT),
which approximates flow near the fiber using singular solutions of the Stokes
equations integrated along the fiber centerline. In contrast to other models
based on (singular) SBT, our model yields a smooth integral kernel which
incorporates the (possibly varying) fiber radius naturally. The integral
operator is provably negative definite in a non-physical idealized geometry, as
expected from PDE theory. This is numerically verified in physically relevant
geometries. We propose a convergent numerical method for solving the integral
equation and discuss its convergence and stability. The accuracy of the model
and method is verified against known models for ellipsoids. Finally, a fast
algorithm for computing dynamics of rigid fibers with complex geometries is
developed.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom