Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Separation of time-scales in drift-diffusion equations on $\mathbb{R}^2$   We deal with the problem of separation of time-scales and filamentation in a
linear drift-diffusion problem posed on the whole space $\mathbb{R}^2$. The
passive scalar considered is stirred by an incompressible flow with radial
symmetry. We identify a time-scale, much faster than the diffusive one, at
which mixing happens along the streamlines, as a result of the interaction
between transport and diffusion. This effect is also known as enhanced
dissipation. For power-law circular flows, this time-scale only depends on the
behavior of the flow at the origin. The proofs are based on an adaptation of a
hypocoercivity scheme and yield a linear semigroup estimate in a suitable
weighted $L^2$-based space.

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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: stat
7
The categories of this paper are: hep-th
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The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom