Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A continuous pathway between the elasto-inertial and elastic turbulent
  states in viscoelastic channel flow   We show that viscoelastic plane Poiseuille flow becomes linearly unstable in
the absence of inertia, in the limit of high elasticities, for ultra-dilute
polymer solutions. While inertialess elastic instabilities have been predicted
for curvilinear shear flows, this is the first ever report of a purely elastic
linear instability in a rectilinear shear flow. The novel instability continues
upto a Reynolds number ($Re$) of $O(1000)$, corresponding to the recently
identified elasto-inertial turbulent state believed to underlie the
maximum-drag-reduced regime. Thus, for highly elastic ultra-dilute polymer
solutions, a single linearly unstable modal branch may underlie transition to
elastic turbulence at zero $Re$, and to elasto-inertial turbulence at moderate
$Re$, implying the existence of continuous pathways connecting the turbulent
states to each other, and to the laminar base state.

19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat