Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal mixing by incompressible fluid flows   We consider a model for mixing binary viscous fluids under an incompressible
flow. We proof the impossibility of perfect mixing in finite time for flows
with finite viscous dissipation. As measures of mixedness we consider a
Monge--Kantorovich--Rubinstein transportation distance and, more classically,
the $H^{-1}$ norm. We derive rigorous a priori lower bounds on these mixing
norms which show that mixing cannot proceed faster than exponentially in time.
The rate of the exponential decay is uniform in the initial data.

1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph