Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electrically-controlled self-similar evolution of viscous fingering
  patterns in radial Hele-Shaw flows   Time-dependent injection strategies are commonly employed to control the
number of viscous fingers emerging at the interface separating two fluids
during radial displacement in Hele-Shaw flows. Here we demonstrate
theoretically that such a usual controlling method is significantly improved by
taking advantage of an electro-osmotic flow generated by applying an external
electric field. More specifically, under the coupled action of time-varying
electric currents and injection rates, we design a strategy capable of
controlling not only the number of fingers emerging at the interface but also
when (and if) the self-similar evolution occurs. In addition, the level of
instability of the $n$-fold fingered patterns can also be tuned. This improved
control over the interfacial features cannot be realized by the sole
consideration of a time-varying injection rate. Perturbative second-order
mode-coupling analysis and boundary integral simulations confirm that the
validity and effectiveness of the controlling protocol go beyond the linear
regime.

21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio