Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Viscous Flow past a Body Translating by Time-Periodic Motion with Zero
  Average   We study existence, uniqueness, regularity and asymptotic spatial behavior of
a Navier-Stokes flow past a body moving by a time-periodic translational motion
of period $T$, and with zero average. For example, $\mathscr B$ moves in an
oscillating fashion. The flow is also time-periodic with same period $T$.
However, sufficiently ``far" from the body, the oscillatory component decays
faster than the averaged component, so that the flow shows there a distinctive
steady-state character. This provides a rigorous proof of the ``steady
streaming" phenomenon.

25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th