Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mixing and diffusion for rough shear flows   This article addresses mixing and diffusion properties of passive scalars
advected by rough ($C^\alpha$) shear flows. We show that in general, one cannot
expect a rough shear flow to increase the rate of inviscid mixing to more than
that of a smooth shear without critical points. On the other hand, diffusion
may be enhanced at a much faster rate. This shows that in the setting of low
regularity, the interplay between inviscid mixing properties and enhanced
dissipation is more intricate, and in fact contradicts some of the natural
heuristics that are valid in the smooth setting.

32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph